Deck 10: Matrices

ملء الشاشة (f)
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سؤال
Solve the system of equations below by the Gaussian elimination method. <strong>Solve the system of equations below by the Gaussian elimination method.  </strong> A)   B)   C)no solution D)   E)   <div style=padding-top: 35px>

A) <strong>Solve the system of equations below by the Gaussian elimination method.  </strong> A)   B)   C)no solution D)   E)   <div style=padding-top: 35px>
B) <strong>Solve the system of equations below by the Gaussian elimination method.  </strong> A)   B)   C)no solution D)   E)   <div style=padding-top: 35px>
C)no solution
D) <strong>Solve the system of equations below by the Gaussian elimination method.  </strong> A)   B)   C)no solution D)   E)   <div style=padding-top: 35px>
E) <strong>Solve the system of equations below by the Gaussian elimination method.  </strong> A)   B)   C)no solution D)   E)   <div style=padding-top: 35px>
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سؤال
Use the matrix capabilities of a graphing utility to find AB , if possible. <strong>Use the matrix capabilities of a graphing utility to find AB , if possible.  </strong> A)   B)   C)   D)   E)not possible <div style=padding-top: 35px>

A) <strong>Use the matrix capabilities of a graphing utility to find AB , if possible.  </strong> A)   B)   C)   D)   E)not possible <div style=padding-top: 35px>
B) <strong>Use the matrix capabilities of a graphing utility to find AB , if possible.  </strong> A)   B)   C)   D)   E)not possible <div style=padding-top: 35px>
C) <strong>Use the matrix capabilities of a graphing utility to find AB , if possible.  </strong> A)   B)   C)   D)   E)not possible <div style=padding-top: 35px>
D) <strong>Use the matrix capabilities of a graphing utility to find AB , if possible.  </strong> A)   B)   C)   D)   E)not possible <div style=padding-top: 35px>
E)not possible
سؤال
Write the constant matrix of the system of equations below. <strong>Write the constant matrix of the system of equations below.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Write the constant matrix of the system of equations below.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Write the constant matrix of the system of equations below.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Write the constant matrix of the system of equations below.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Write the constant matrix of the system of equations below.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Write the constant matrix of the system of equations below.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Find the determinant of the matrix <strong>Find the determinant of the matrix   .</strong> A)6 B)22 C)-63 D)-33 E)-12 <div style=padding-top: 35px> .

A)6
B)22
C)-63
D)-33
E)-12
سؤال
Solve for X in the equation given. <strong>Solve for X in the equation given.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Solve for X in the equation given.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Solve for X in the equation given.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Solve for X in the equation given.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Solve for X in the equation given.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Solve for X in the equation given.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Solve for X in the equation given. <strong>Solve for X in the equation given.  </strong> A)   B)   C)not possible D)   E)   <div style=padding-top: 35px>

A) <strong>Solve for X in the equation given.  </strong> A)   B)   C)not possible D)   E)   <div style=padding-top: 35px>
B) <strong>Solve for X in the equation given.  </strong> A)   B)   C)not possible D)   E)   <div style=padding-top: 35px>
C)not possible
D) <strong>Solve for X in the equation given.  </strong> A)   B)   C)not possible D)   E)   <div style=padding-top: 35px>
E) <strong>Solve for X in the equation given.  </strong> A)   B)   C)not possible D)   E)   <div style=padding-top: 35px>
سؤال
If possible, find 2 A 5 B . <strong>If possible, find 2 A 5 B .  </strong> A)   B)   C)   D)   E)not possible <div style=padding-top: 35px>

A) <strong>If possible, find 2 A 5 B .  </strong> A)   B)   C)   D)   E)not possible <div style=padding-top: 35px>
B) <strong>If possible, find 2 A 5 B .  </strong> A)   B)   C)   D)   E)not possible <div style=padding-top: 35px>
C) <strong>If possible, find 2 A 5 B .  </strong> A)   B)   C)   D)   E)not possible <div style=padding-top: 35px>
D) <strong>If possible, find 2 A 5 B .  </strong> A)   B)   C)   D)   E)not possible <div style=padding-top: 35px>
E)not possible
سؤال
Solve the system of linear equations <strong>Solve the system of linear equations   using an inverse matrix.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> using an inverse matrix.

A) <strong>Solve the system of linear equations   using an inverse matrix.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Solve the system of linear equations   using an inverse matrix.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Solve the system of linear equations   using an inverse matrix.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Solve the system of linear equations   using an inverse matrix.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Solve the system of linear equations   using an inverse matrix.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Find the inverse of the matrix <strong>Find the inverse of the matrix   (if it exists).</strong> A)does not exist B)   C)   D)   E)   <div style=padding-top: 35px> (if it exists).

A)does not exist
B) <strong>Find the inverse of the matrix   (if it exists).</strong> A)does not exist B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the inverse of the matrix   (if it exists).</strong> A)does not exist B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the inverse of the matrix   (if it exists).</strong> A)does not exist B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the inverse of the matrix   (if it exists).</strong> A)does not exist B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Solve the system of linear equations <strong>Solve the system of linear equations   using an inverse matrix.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> using an inverse matrix.

A) <strong>Solve the system of linear equations   using an inverse matrix.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Solve the system of linear equations   using an inverse matrix.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Solve the system of linear equations   using an inverse matrix.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Solve the system of linear equations   using an inverse matrix.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Solve the system of linear equations   using an inverse matrix.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
If possible, find A B . <strong>If possible, find A B .  </strong> A)   B)not possible C)   D)   E)   <div style=padding-top: 35px>

A) <strong>If possible, find A B .  </strong> A)   B)not possible C)   D)   E)   <div style=padding-top: 35px>
B)not possible
C) <strong>If possible, find A B .  </strong> A)   B)not possible C)   D)   E)   <div style=padding-top: 35px>
D) <strong>If possible, find A B .  </strong> A)   B)not possible C)   D)   E)   <div style=padding-top: 35px>
E) <strong>If possible, find A B .  </strong> A)   B)not possible C)   D)   E)   <div style=padding-top: 35px>
سؤال
Use the matrix capabilities of a graphing utility to find the inverse of the matrix <strong>Use the matrix capabilities of a graphing utility to find the inverse of the matrix   (if it exists).</strong> A)does not exist B)   C)   D)   E)   <div style=padding-top: 35px> (if it exists).

A)does not exist
B) <strong>Use the matrix capabilities of a graphing utility to find the inverse of the matrix   (if it exists).</strong> A)does not exist B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Use the matrix capabilities of a graphing utility to find the inverse of the matrix   (if it exists).</strong> A)does not exist B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Use the matrix capabilities of a graphing utility to find the inverse of the matrix   (if it exists).</strong> A)does not exist B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Use the matrix capabilities of a graphing utility to find the inverse of the matrix   (if it exists).</strong> A)does not exist B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Solve the system of equations below by the Gaussian elimination method: <strong>Solve the system of equations below by the Gaussian elimination method:  </strong> A)no solution B)   C)   D)   E)   <div style=padding-top: 35px>

A)no solution
B) <strong>Solve the system of equations below by the Gaussian elimination method:  </strong> A)no solution B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Solve the system of equations below by the Gaussian elimination method:  </strong> A)no solution B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Solve the system of equations below by the Gaussian elimination method:  </strong> A)no solution B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Solve the system of equations below by the Gaussian elimination method:  </strong> A)no solution B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
A lawn-and-garden store sells three types of fertilizer in 50-pound bags: Feed Weed, Winterizer Blend, and 17-17-17. The number of bags that were sold last weekend is represented by A . Feed Weed Winterizer 17-17-17 A lawn-and-garden store sells three types of fertilizer in 50-pound bags: Feed Weed, Winterizer Blend, and 17-17-17. The number of bags that were sold last weekend is represented by A . Feed Weed Winterizer 17-17-17         The selling price per bag and the profit per bag for the three types of fertilizer are represented by B (values are in dollars). Selling Price Profit       (a)Compute AB and interpret the result. Show all your work. (b)Find the store s total profit from fertilizer sales for the weekend. Show your work.<div style=padding-top: 35px> A lawn-and-garden store sells three types of fertilizer in 50-pound bags: Feed Weed, Winterizer Blend, and 17-17-17. The number of bags that were sold last weekend is represented by A . Feed Weed Winterizer 17-17-17         The selling price per bag and the profit per bag for the three types of fertilizer are represented by B (values are in dollars). Selling Price Profit       (a)Compute AB and interpret the result. Show all your work. (b)Find the store s total profit from fertilizer sales for the weekend. Show your work.<div style=padding-top: 35px> A lawn-and-garden store sells three types of fertilizer in 50-pound bags: Feed Weed, Winterizer Blend, and 17-17-17. The number of bags that were sold last weekend is represented by A . Feed Weed Winterizer 17-17-17         The selling price per bag and the profit per bag for the three types of fertilizer are represented by B (values are in dollars). Selling Price Profit       (a)Compute AB and interpret the result. Show all your work. (b)Find the store s total profit from fertilizer sales for the weekend. Show your work.<div style=padding-top: 35px> A lawn-and-garden store sells three types of fertilizer in 50-pound bags: Feed Weed, Winterizer Blend, and 17-17-17. The number of bags that were sold last weekend is represented by A . Feed Weed Winterizer 17-17-17         The selling price per bag and the profit per bag for the three types of fertilizer are represented by B (values are in dollars). Selling Price Profit       (a)Compute AB and interpret the result. Show all your work. (b)Find the store s total profit from fertilizer sales for the weekend. Show your work.<div style=padding-top: 35px> The selling price per bag and the profit per bag for the three types of fertilizer are represented by B (values are in dollars). Selling Price Profit A lawn-and-garden store sells three types of fertilizer in 50-pound bags: Feed Weed, Winterizer Blend, and 17-17-17. The number of bags that were sold last weekend is represented by A . Feed Weed Winterizer 17-17-17         The selling price per bag and the profit per bag for the three types of fertilizer are represented by B (values are in dollars). Selling Price Profit       (a)Compute AB and interpret the result. Show all your work. (b)Find the store s total profit from fertilizer sales for the weekend. Show your work.<div style=padding-top: 35px> A lawn-and-garden store sells three types of fertilizer in 50-pound bags: Feed Weed, Winterizer Blend, and 17-17-17. The number of bags that were sold last weekend is represented by A . Feed Weed Winterizer 17-17-17         The selling price per bag and the profit per bag for the three types of fertilizer are represented by B (values are in dollars). Selling Price Profit       (a)Compute AB and interpret the result. Show all your work. (b)Find the store s total profit from fertilizer sales for the weekend. Show your work.<div style=padding-top: 35px> A lawn-and-garden store sells three types of fertilizer in 50-pound bags: Feed Weed, Winterizer Blend, and 17-17-17. The number of bags that were sold last weekend is represented by A . Feed Weed Winterizer 17-17-17         The selling price per bag and the profit per bag for the three types of fertilizer are represented by B (values are in dollars). Selling Price Profit       (a)Compute AB and interpret the result. Show all your work. (b)Find the store s total profit from fertilizer sales for the weekend. Show your work.<div style=padding-top: 35px> (a)Compute AB and interpret the result. Show all your work. (b)Find the store s total profit from fertilizer sales for the weekend. Show your work.
سؤال
Write the augmented matrix of the system of equations below. <strong>Write the augmented matrix of the system of equations below.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Write the augmented matrix of the system of equations below.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Write the augmented matrix of the system of equations below.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Write the augmented matrix of the system of equations below.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Write the augmented matrix of the system of equations below.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Write the augmented matrix of the system of equations below.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
If possible, find AB . <strong>If possible, find AB .  </strong> A)   B)not possible C)   D)   E)   <div style=padding-top: 35px>

A) <strong>If possible, find AB .  </strong> A)   B)not possible C)   D)   E)   <div style=padding-top: 35px>
B)not possible
C) <strong>If possible, find AB .  </strong> A)   B)not possible C)   D)   E)   <div style=padding-top: 35px>
D) <strong>If possible, find AB .  </strong> A)   B)not possible C)   D)   E)   <div style=padding-top: 35px>
E) <strong>If possible, find AB .  </strong> A)   B)not possible C)   D)   E)   <div style=padding-top: 35px>
سؤال
Use the matrix capabilities of a graphing utility to solve the following system of linear equations: <strong>Use the matrix capabilities of a graphing utility to solve the following system of linear equations:  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Use the matrix capabilities of a graphing utility to solve the following system of linear equations:  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Use the matrix capabilities of a graphing utility to solve the following system of linear equations:  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Use the matrix capabilities of a graphing utility to solve the following system of linear equations:  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Use the matrix capabilities of a graphing utility to solve the following system of linear equations:  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Use the matrix capabilities of a graphing utility to solve the following system of linear equations:  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Write the coefficient matrix of the system of equations below. <strong>Write the coefficient matrix of the system of equations below.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Write the coefficient matrix of the system of equations below.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Write the coefficient matrix of the system of equations below.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Write the coefficient matrix of the system of equations below.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Write the coefficient matrix of the system of equations below.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Write the coefficient matrix of the system of equations below.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Find the inverse of the matrix <strong>Find the inverse of the matrix   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>Find the inverse of the matrix   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the inverse of the matrix   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the inverse of the matrix   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the inverse of the matrix   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the inverse of the matrix   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Find the inverse of the matrix <strong>Find the inverse of the matrix   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>Find the inverse of the matrix   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the inverse of the matrix   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the inverse of the matrix   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the inverse of the matrix   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the inverse of the matrix   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Use the matrix capabilities of a graphing utility to find the determinant of the matrix <strong>Use the matrix capabilities of a graphing utility to find the determinant of the matrix   .</strong> A)-10 B)4 C)-12 D)-6 E)7 <div style=padding-top: 35px> .

A)-10
B)4
C)-12
D)-6
E)7
سؤال
Find the determinant of <strong>Find the determinant of   .</strong> A)0 B)64 C)-110 D)-96 E)-88 <div style=padding-top: 35px> .

A)0
B)64
C)-110
D)-96
E)-88
سؤال
Use the matrix capabilities of a graphing utility to find the determinant of the matrix <strong>Use the matrix capabilities of a graphing utility to find the determinant of the matrix   .</strong> A)-384 B)-32 C)-48 D)128 E)-64 <div style=padding-top: 35px> .

A)-384
B)-32
C)-48
D)128
E)-64
سؤال
Use Cramer s Rule to solve the following system of linear equations: <strong>Use Cramer s Rule to solve the following system of linear equations:  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Use Cramer s Rule to solve the following system of linear equations:  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Use Cramer s Rule to solve the following system of linear equations:  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Use Cramer s Rule to solve the following system of linear equations:  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Use Cramer s Rule to solve the following system of linear equations:  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Use Cramer s Rule to solve the following system of linear equations:  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Use Cramer s Rule to solve the following system of linear equations: <strong>Use Cramer s Rule to solve the following system of linear equations:  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Use Cramer s Rule to solve the following system of linear equations:  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Use Cramer s Rule to solve the following system of linear equations:  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Use Cramer s Rule to solve the following system of linear equations:  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Use Cramer s Rule to solve the following system of linear equations:  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Use Cramer s Rule to solve the following system of linear equations:  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Use a determinant to find the area of the triangle shown below. <strong>Use a determinant to find the area of the triangle shown below.  </strong> A)   square units B)14 square units C)   square units D)12 square units E)   square units <div style=padding-top: 35px>

A) <strong>Use a determinant to find the area of the triangle shown below.  </strong> A)   square units B)14 square units C)   square units D)12 square units E)   square units <div style=padding-top: 35px> square units
B)14 square units
C) <strong>Use a determinant to find the area of the triangle shown below.  </strong> A)   square units B)14 square units C)   square units D)12 square units E)   square units <div style=padding-top: 35px> square units
D)12 square units
E) <strong>Use a determinant to find the area of the triangle shown below.  </strong> A)   square units B)14 square units C)   square units D)12 square units E)   square units <div style=padding-top: 35px> square units
سؤال
Use a determinant to find an equation of the line passing through the points Use a determinant to find an equation of the line passing through the points   and   .<div style=padding-top: 35px> and Use a determinant to find an equation of the line passing through the points   and   .<div style=padding-top: 35px> .
سؤال
Given <strong>Given   , find   .</strong> A)168 B)-80 C)-120 D)40 E)88 <div style=padding-top: 35px> , find <strong>Given   , find   .</strong> A)168 B)-80 C)-120 D)40 E)88 <div style=padding-top: 35px> .

A)168
B)-80
C)-120
D)40
E)88
سؤال
Find the determinant of <strong>Find the determinant of   .</strong> A)-512 B)-448 C)0 D)256 E)192 <div style=padding-top: 35px> .

A)-512
B)-448
C)0
D)256
E)192
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Deck 10: Matrices
1
Solve the system of equations below by the Gaussian elimination method. <strong>Solve the system of equations below by the Gaussian elimination method.  </strong> A)   B)   C)no solution D)   E)

A) <strong>Solve the system of equations below by the Gaussian elimination method.  </strong> A)   B)   C)no solution D)   E)
B) <strong>Solve the system of equations below by the Gaussian elimination method.  </strong> A)   B)   C)no solution D)   E)
C)no solution
D) <strong>Solve the system of equations below by the Gaussian elimination method.  </strong> A)   B)   C)no solution D)   E)
E) <strong>Solve the system of equations below by the Gaussian elimination method.  </strong> A)   B)   C)no solution D)   E)
2
Use the matrix capabilities of a graphing utility to find AB , if possible. <strong>Use the matrix capabilities of a graphing utility to find AB , if possible.  </strong> A)   B)   C)   D)   E)not possible

A) <strong>Use the matrix capabilities of a graphing utility to find AB , if possible.  </strong> A)   B)   C)   D)   E)not possible
B) <strong>Use the matrix capabilities of a graphing utility to find AB , if possible.  </strong> A)   B)   C)   D)   E)not possible
C) <strong>Use the matrix capabilities of a graphing utility to find AB , if possible.  </strong> A)   B)   C)   D)   E)not possible
D) <strong>Use the matrix capabilities of a graphing utility to find AB , if possible.  </strong> A)   B)   C)   D)   E)not possible
E)not possible
3
Write the constant matrix of the system of equations below. <strong>Write the constant matrix of the system of equations below.  </strong> A)   B)   C)   D)   E)

A) <strong>Write the constant matrix of the system of equations below.  </strong> A)   B)   C)   D)   E)
B) <strong>Write the constant matrix of the system of equations below.  </strong> A)   B)   C)   D)   E)
C) <strong>Write the constant matrix of the system of equations below.  </strong> A)   B)   C)   D)   E)
D) <strong>Write the constant matrix of the system of equations below.  </strong> A)   B)   C)   D)   E)
E) <strong>Write the constant matrix of the system of equations below.  </strong> A)   B)   C)   D)   E)
4
Find the determinant of the matrix <strong>Find the determinant of the matrix   .</strong> A)6 B)22 C)-63 D)-33 E)-12 .

A)6
B)22
C)-63
D)-33
E)-12
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5
Solve for X in the equation given. <strong>Solve for X in the equation given.  </strong> A)   B)   C)   D)   E)

A) <strong>Solve for X in the equation given.  </strong> A)   B)   C)   D)   E)
B) <strong>Solve for X in the equation given.  </strong> A)   B)   C)   D)   E)
C) <strong>Solve for X in the equation given.  </strong> A)   B)   C)   D)   E)
D) <strong>Solve for X in the equation given.  </strong> A)   B)   C)   D)   E)
E) <strong>Solve for X in the equation given.  </strong> A)   B)   C)   D)   E)
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6
Solve for X in the equation given. <strong>Solve for X in the equation given.  </strong> A)   B)   C)not possible D)   E)

A) <strong>Solve for X in the equation given.  </strong> A)   B)   C)not possible D)   E)
B) <strong>Solve for X in the equation given.  </strong> A)   B)   C)not possible D)   E)
C)not possible
D) <strong>Solve for X in the equation given.  </strong> A)   B)   C)not possible D)   E)
E) <strong>Solve for X in the equation given.  </strong> A)   B)   C)not possible D)   E)
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7
If possible, find 2 A 5 B . <strong>If possible, find 2 A 5 B .  </strong> A)   B)   C)   D)   E)not possible

A) <strong>If possible, find 2 A 5 B .  </strong> A)   B)   C)   D)   E)not possible
B) <strong>If possible, find 2 A 5 B .  </strong> A)   B)   C)   D)   E)not possible
C) <strong>If possible, find 2 A 5 B .  </strong> A)   B)   C)   D)   E)not possible
D) <strong>If possible, find 2 A 5 B .  </strong> A)   B)   C)   D)   E)not possible
E)not possible
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8
Solve the system of linear equations <strong>Solve the system of linear equations   using an inverse matrix.</strong> A)   B)   C)   D)   E)   using an inverse matrix.

A) <strong>Solve the system of linear equations   using an inverse matrix.</strong> A)   B)   C)   D)   E)
B) <strong>Solve the system of linear equations   using an inverse matrix.</strong> A)   B)   C)   D)   E)
C) <strong>Solve the system of linear equations   using an inverse matrix.</strong> A)   B)   C)   D)   E)
D) <strong>Solve the system of linear equations   using an inverse matrix.</strong> A)   B)   C)   D)   E)
E) <strong>Solve the system of linear equations   using an inverse matrix.</strong> A)   B)   C)   D)   E)
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9
Find the inverse of the matrix <strong>Find the inverse of the matrix   (if it exists).</strong> A)does not exist B)   C)   D)   E)   (if it exists).

A)does not exist
B) <strong>Find the inverse of the matrix   (if it exists).</strong> A)does not exist B)   C)   D)   E)
C) <strong>Find the inverse of the matrix   (if it exists).</strong> A)does not exist B)   C)   D)   E)
D) <strong>Find the inverse of the matrix   (if it exists).</strong> A)does not exist B)   C)   D)   E)
E) <strong>Find the inverse of the matrix   (if it exists).</strong> A)does not exist B)   C)   D)   E)
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10
Solve the system of linear equations <strong>Solve the system of linear equations   using an inverse matrix.</strong> A)   B)   C)   D)   E)   using an inverse matrix.

A) <strong>Solve the system of linear equations   using an inverse matrix.</strong> A)   B)   C)   D)   E)
B) <strong>Solve the system of linear equations   using an inverse matrix.</strong> A)   B)   C)   D)   E)
C) <strong>Solve the system of linear equations   using an inverse matrix.</strong> A)   B)   C)   D)   E)
D) <strong>Solve the system of linear equations   using an inverse matrix.</strong> A)   B)   C)   D)   E)
E) <strong>Solve the system of linear equations   using an inverse matrix.</strong> A)   B)   C)   D)   E)
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11
If possible, find A B . <strong>If possible, find A B .  </strong> A)   B)not possible C)   D)   E)

A) <strong>If possible, find A B .  </strong> A)   B)not possible C)   D)   E)
B)not possible
C) <strong>If possible, find A B .  </strong> A)   B)not possible C)   D)   E)
D) <strong>If possible, find A B .  </strong> A)   B)not possible C)   D)   E)
E) <strong>If possible, find A B .  </strong> A)   B)not possible C)   D)   E)
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12
Use the matrix capabilities of a graphing utility to find the inverse of the matrix <strong>Use the matrix capabilities of a graphing utility to find the inverse of the matrix   (if it exists).</strong> A)does not exist B)   C)   D)   E)   (if it exists).

A)does not exist
B) <strong>Use the matrix capabilities of a graphing utility to find the inverse of the matrix   (if it exists).</strong> A)does not exist B)   C)   D)   E)
C) <strong>Use the matrix capabilities of a graphing utility to find the inverse of the matrix   (if it exists).</strong> A)does not exist B)   C)   D)   E)
D) <strong>Use the matrix capabilities of a graphing utility to find the inverse of the matrix   (if it exists).</strong> A)does not exist B)   C)   D)   E)
E) <strong>Use the matrix capabilities of a graphing utility to find the inverse of the matrix   (if it exists).</strong> A)does not exist B)   C)   D)   E)
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13
Solve the system of equations below by the Gaussian elimination method: <strong>Solve the system of equations below by the Gaussian elimination method:  </strong> A)no solution B)   C)   D)   E)

A)no solution
B) <strong>Solve the system of equations below by the Gaussian elimination method:  </strong> A)no solution B)   C)   D)   E)
C) <strong>Solve the system of equations below by the Gaussian elimination method:  </strong> A)no solution B)   C)   D)   E)
D) <strong>Solve the system of equations below by the Gaussian elimination method:  </strong> A)no solution B)   C)   D)   E)
E) <strong>Solve the system of equations below by the Gaussian elimination method:  </strong> A)no solution B)   C)   D)   E)
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14
A lawn-and-garden store sells three types of fertilizer in 50-pound bags: Feed Weed, Winterizer Blend, and 17-17-17. The number of bags that were sold last weekend is represented by A . Feed Weed Winterizer 17-17-17 A lawn-and-garden store sells three types of fertilizer in 50-pound bags: Feed Weed, Winterizer Blend, and 17-17-17. The number of bags that were sold last weekend is represented by A . Feed Weed Winterizer 17-17-17         The selling price per bag and the profit per bag for the three types of fertilizer are represented by B (values are in dollars). Selling Price Profit       (a)Compute AB and interpret the result. Show all your work. (b)Find the store s total profit from fertilizer sales for the weekend. Show your work. A lawn-and-garden store sells three types of fertilizer in 50-pound bags: Feed Weed, Winterizer Blend, and 17-17-17. The number of bags that were sold last weekend is represented by A . Feed Weed Winterizer 17-17-17         The selling price per bag and the profit per bag for the three types of fertilizer are represented by B (values are in dollars). Selling Price Profit       (a)Compute AB and interpret the result. Show all your work. (b)Find the store s total profit from fertilizer sales for the weekend. Show your work. A lawn-and-garden store sells three types of fertilizer in 50-pound bags: Feed Weed, Winterizer Blend, and 17-17-17. The number of bags that were sold last weekend is represented by A . Feed Weed Winterizer 17-17-17         The selling price per bag and the profit per bag for the three types of fertilizer are represented by B (values are in dollars). Selling Price Profit       (a)Compute AB and interpret the result. Show all your work. (b)Find the store s total profit from fertilizer sales for the weekend. Show your work. A lawn-and-garden store sells three types of fertilizer in 50-pound bags: Feed Weed, Winterizer Blend, and 17-17-17. The number of bags that were sold last weekend is represented by A . Feed Weed Winterizer 17-17-17         The selling price per bag and the profit per bag for the three types of fertilizer are represented by B (values are in dollars). Selling Price Profit       (a)Compute AB and interpret the result. Show all your work. (b)Find the store s total profit from fertilizer sales for the weekend. Show your work. The selling price per bag and the profit per bag for the three types of fertilizer are represented by B (values are in dollars). Selling Price Profit A lawn-and-garden store sells three types of fertilizer in 50-pound bags: Feed Weed, Winterizer Blend, and 17-17-17. The number of bags that were sold last weekend is represented by A . Feed Weed Winterizer 17-17-17         The selling price per bag and the profit per bag for the three types of fertilizer are represented by B (values are in dollars). Selling Price Profit       (a)Compute AB and interpret the result. Show all your work. (b)Find the store s total profit from fertilizer sales for the weekend. Show your work. A lawn-and-garden store sells three types of fertilizer in 50-pound bags: Feed Weed, Winterizer Blend, and 17-17-17. The number of bags that were sold last weekend is represented by A . Feed Weed Winterizer 17-17-17         The selling price per bag and the profit per bag for the three types of fertilizer are represented by B (values are in dollars). Selling Price Profit       (a)Compute AB and interpret the result. Show all your work. (b)Find the store s total profit from fertilizer sales for the weekend. Show your work. A lawn-and-garden store sells three types of fertilizer in 50-pound bags: Feed Weed, Winterizer Blend, and 17-17-17. The number of bags that were sold last weekend is represented by A . Feed Weed Winterizer 17-17-17         The selling price per bag and the profit per bag for the three types of fertilizer are represented by B (values are in dollars). Selling Price Profit       (a)Compute AB and interpret the result. Show all your work. (b)Find the store s total profit from fertilizer sales for the weekend. Show your work. (a)Compute AB and interpret the result. Show all your work. (b)Find the store s total profit from fertilizer sales for the weekend. Show your work.
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15
Write the augmented matrix of the system of equations below. <strong>Write the augmented matrix of the system of equations below.  </strong> A)   B)   C)   D)   E)

A) <strong>Write the augmented matrix of the system of equations below.  </strong> A)   B)   C)   D)   E)
B) <strong>Write the augmented matrix of the system of equations below.  </strong> A)   B)   C)   D)   E)
C) <strong>Write the augmented matrix of the system of equations below.  </strong> A)   B)   C)   D)   E)
D) <strong>Write the augmented matrix of the system of equations below.  </strong> A)   B)   C)   D)   E)
E) <strong>Write the augmented matrix of the system of equations below.  </strong> A)   B)   C)   D)   E)
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16
If possible, find AB . <strong>If possible, find AB .  </strong> A)   B)not possible C)   D)   E)

A) <strong>If possible, find AB .  </strong> A)   B)not possible C)   D)   E)
B)not possible
C) <strong>If possible, find AB .  </strong> A)   B)not possible C)   D)   E)
D) <strong>If possible, find AB .  </strong> A)   B)not possible C)   D)   E)
E) <strong>If possible, find AB .  </strong> A)   B)not possible C)   D)   E)
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17
Use the matrix capabilities of a graphing utility to solve the following system of linear equations: <strong>Use the matrix capabilities of a graphing utility to solve the following system of linear equations:  </strong> A)   B)   C)   D)   E)

A) <strong>Use the matrix capabilities of a graphing utility to solve the following system of linear equations:  </strong> A)   B)   C)   D)   E)
B) <strong>Use the matrix capabilities of a graphing utility to solve the following system of linear equations:  </strong> A)   B)   C)   D)   E)
C) <strong>Use the matrix capabilities of a graphing utility to solve the following system of linear equations:  </strong> A)   B)   C)   D)   E)
D) <strong>Use the matrix capabilities of a graphing utility to solve the following system of linear equations:  </strong> A)   B)   C)   D)   E)
E) <strong>Use the matrix capabilities of a graphing utility to solve the following system of linear equations:  </strong> A)   B)   C)   D)   E)
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18
Write the coefficient matrix of the system of equations below. <strong>Write the coefficient matrix of the system of equations below.  </strong> A)   B)   C)   D)   E)

A) <strong>Write the coefficient matrix of the system of equations below.  </strong> A)   B)   C)   D)   E)
B) <strong>Write the coefficient matrix of the system of equations below.  </strong> A)   B)   C)   D)   E)
C) <strong>Write the coefficient matrix of the system of equations below.  </strong> A)   B)   C)   D)   E)
D) <strong>Write the coefficient matrix of the system of equations below.  </strong> A)   B)   C)   D)   E)
E) <strong>Write the coefficient matrix of the system of equations below.  </strong> A)   B)   C)   D)   E)
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19
Find the inverse of the matrix <strong>Find the inverse of the matrix   .</strong> A)   B)   C)   D)   E)   .

A) <strong>Find the inverse of the matrix   .</strong> A)   B)   C)   D)   E)
B) <strong>Find the inverse of the matrix   .</strong> A)   B)   C)   D)   E)
C) <strong>Find the inverse of the matrix   .</strong> A)   B)   C)   D)   E)
D) <strong>Find the inverse of the matrix   .</strong> A)   B)   C)   D)   E)
E) <strong>Find the inverse of the matrix   .</strong> A)   B)   C)   D)   E)
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20
Find the inverse of the matrix <strong>Find the inverse of the matrix   .</strong> A)   B)   C)   D)   E)   .

A) <strong>Find the inverse of the matrix   .</strong> A)   B)   C)   D)   E)
B) <strong>Find the inverse of the matrix   .</strong> A)   B)   C)   D)   E)
C) <strong>Find the inverse of the matrix   .</strong> A)   B)   C)   D)   E)
D) <strong>Find the inverse of the matrix   .</strong> A)   B)   C)   D)   E)
E) <strong>Find the inverse of the matrix   .</strong> A)   B)   C)   D)   E)
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21
Use the matrix capabilities of a graphing utility to find the determinant of the matrix <strong>Use the matrix capabilities of a graphing utility to find the determinant of the matrix   .</strong> A)-10 B)4 C)-12 D)-6 E)7 .

A)-10
B)4
C)-12
D)-6
E)7
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22
Find the determinant of <strong>Find the determinant of   .</strong> A)0 B)64 C)-110 D)-96 E)-88 .

A)0
B)64
C)-110
D)-96
E)-88
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23
Use the matrix capabilities of a graphing utility to find the determinant of the matrix <strong>Use the matrix capabilities of a graphing utility to find the determinant of the matrix   .</strong> A)-384 B)-32 C)-48 D)128 E)-64 .

A)-384
B)-32
C)-48
D)128
E)-64
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24
Use Cramer s Rule to solve the following system of linear equations: <strong>Use Cramer s Rule to solve the following system of linear equations:  </strong> A)   B)   C)   D)   E)

A) <strong>Use Cramer s Rule to solve the following system of linear equations:  </strong> A)   B)   C)   D)   E)
B) <strong>Use Cramer s Rule to solve the following system of linear equations:  </strong> A)   B)   C)   D)   E)
C) <strong>Use Cramer s Rule to solve the following system of linear equations:  </strong> A)   B)   C)   D)   E)
D) <strong>Use Cramer s Rule to solve the following system of linear equations:  </strong> A)   B)   C)   D)   E)
E) <strong>Use Cramer s Rule to solve the following system of linear equations:  </strong> A)   B)   C)   D)   E)
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25
Use Cramer s Rule to solve the following system of linear equations: <strong>Use Cramer s Rule to solve the following system of linear equations:  </strong> A)   B)   C)   D)   E)

A) <strong>Use Cramer s Rule to solve the following system of linear equations:  </strong> A)   B)   C)   D)   E)
B) <strong>Use Cramer s Rule to solve the following system of linear equations:  </strong> A)   B)   C)   D)   E)
C) <strong>Use Cramer s Rule to solve the following system of linear equations:  </strong> A)   B)   C)   D)   E)
D) <strong>Use Cramer s Rule to solve the following system of linear equations:  </strong> A)   B)   C)   D)   E)
E) <strong>Use Cramer s Rule to solve the following system of linear equations:  </strong> A)   B)   C)   D)   E)
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26
Use a determinant to find the area of the triangle shown below. <strong>Use a determinant to find the area of the triangle shown below.  </strong> A)   square units B)14 square units C)   square units D)12 square units E)   square units

A) <strong>Use a determinant to find the area of the triangle shown below.  </strong> A)   square units B)14 square units C)   square units D)12 square units E)   square units square units
B)14 square units
C) <strong>Use a determinant to find the area of the triangle shown below.  </strong> A)   square units B)14 square units C)   square units D)12 square units E)   square units square units
D)12 square units
E) <strong>Use a determinant to find the area of the triangle shown below.  </strong> A)   square units B)14 square units C)   square units D)12 square units E)   square units square units
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27
Use a determinant to find an equation of the line passing through the points Use a determinant to find an equation of the line passing through the points   and   . and Use a determinant to find an equation of the line passing through the points   and   . .
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28
Given <strong>Given   , find   .</strong> A)168 B)-80 C)-120 D)40 E)88 , find <strong>Given   , find   .</strong> A)168 B)-80 C)-120 D)40 E)88 .

A)168
B)-80
C)-120
D)40
E)88
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29
Find the determinant of <strong>Find the determinant of   .</strong> A)-512 B)-448 C)0 D)256 E)192 .

A)-512
B)-448
C)0
D)256
E)192
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