In Exercises 5 - 8, find values for the variables so that the matrices in each exercise are equal. $\(\begin{bmatrix}\)x & 2y \\(\z\) & 9\(\end{bmatrix}\)=\(\begin{bmatrix}\)4 & 12 \\3 & 9\(\end{bmatrix}\)$

In Exercises 8–11, use Gaussian elimination to find the complete solution to each system, or show that none exists.

Find the following matrices: $A+B$

$A = \(\begin{bmatrix}\)2 \\-4 \\1\(\end{bmatrix}\), B = \(\begin{bmatrix}\)-5 \\3 \\-1\(\end{bmatrix}\)$

a. Give the order of each matrix.

b. If A = [aᵢⱼ] , identify a₃₂ and a₂₃, or explain why identification is not possible.

$\(\begin{bmatrix}\)1 & -5 & \(\pi\) & e \\0 & 7 & -6 & -\(\pi\) \\-2 & \(\frac{1}{2}\) & 11 & -\(\frac{1}{5}\]\end{bmatrix}\)$

In Exercises 5 - 8, find values for the variables so that the matrices in each exercise are equal. $\(\begin{bmatrix}\)x \\4\(\end{bmatrix}\)=\(\begin{bmatrix}\)6 \\(\y\]\end{bmatrix}\)$

In Exercises 9 - 16, find the following matrices: a. A + B

In Exercises 9 - 16, find the following matrices: c. - 4A

In Exercises 9 - 16, find the following matrices: a. A + B

In Exercises 9 - 16, find the following matrices: b. A - B