Apply the matrix algebra to solve the system of linear equations.
4r + 4s - 6t = -22
2r + 7s + 2t = 14
-6r - 2s + 2t = -2
A) (2, 0, 5)
B) (5, 2, 0)
C) (5, 0, 2)
D) (0, 5, 2)

Question

Quizplus · Accepted Answer

The correct answer is (2, 0, 5).The given system of linear equations can be written in matrix form as:$$\begin{bmatrix}4 & 4 & -6 \\ 2 & 7 & 2 \\ -6 & -2 & 2\end{bmatrix}\begin{bmatrix}r \\ s \\ t\end{bmatrix}=\begin{bmatrix}-22 \\ 14 \\ -2\end{bmatrix}$$Solving this system using matrix algebra, we get:$$\begin{bmatrix}r \\ s \\ t\end{bmatrix}=\begin{bmatrix}2 \\ 0 \\ 5\end{bmatrix}$$Therefore, the solution to the system of linear equations is (2, 0, 5).

Apply the Matrix Algebra to Solve the System of Linear