Choose the one alternative that best completes the statement or answers the question.
For the given augmented matrix, determine the number of solutions to the corresponding system of
equations.
-$$\left[ \begin{array} { r r r | r }
1 & 0 & 7 & - 2 \
0 & 1 & - 8 & 1 \
0 & 0 & 0 & 0
\end{array} \right]$$
A) One solution
B) Infinitely many solutions
C) No solution

Question

Choose the one alternative that best completes the statement or answers the question.
For the given augmented matrix, determine the number of solutions to the corresponding system of
equations.
-$$\left[ \begin{array} { r r r | r } 
1 & 0 & 7 & - 2 \
0 & 1 & - 8 & 1 \
0 & 0 & 0 & 0
\end{array} \right]$$
A) One solution
B) Infinitely many solutions
C) No solution

Quizplus · Accepted Answer

The given augmented matrix shows that the system of equations has variables that can take on an infinite number of values because the last row [0 0 0 | 0] indicates that there are more variables than independent equations. This typically results in a system with infinitely many solutions.

Choose the One Alternative That Best Completes the Statement or Answers