Question

What is the solution of the matrix equation?

Answer 1

`(-3,1)`

Explanation:

The given matrix equation is

`\left[\begin{array}{c}x&y\end{array}\right] =\left[\begin{array}{cc}0&1\\1&2\end{array}\right] \left[\begin{array}{c}7&-3\end{array}\right]`

We perform matrix multiplication on the Right Hand Side to obtain;

`\left[\begin{array}{c}x&y\end{array}\right] =\left[\begin{array}{c}0(7)+1(-3)&1(7)+2(-3)\end{array}\right]`

We simplify to obtain;

`\left[\begin{array}{c}x&y\end{array}\right] =\left[\begin{array}{c}-3&1\end{array}\right]`

This implies that
`x=-3` and
`y=1`

The correct answer is

`(-3,1)`