Chapter 16.2, Problem 16WE

To determine

To solve: the given equation for matrix $X$ .

Answer to Problem 16WE

The solution for $X$ is $\left[\begin{array}{cc}3& 1\\ 6& -1\end{array}\right]$ .

Explanation of Solution

Given information:

Given equation,

  $X+\left[\begin{array}{cc}3& 2\\ 1& 0\end{array}\right]=\left[\begin{array}{cc}6& 3\\ 7& -1\end{array}\right]$

Calculation: Consider the givn equation,

  $X+\left[\begin{array}{cc}3& 2\\ 1& 0\end{array}\right]=\left[\begin{array}{cc}6& 3\\ 7& -1\end{array}\right]$

Now, solve the equation as shown,

  $\begin{array}{c}X+\left[\begin{array}{cc}3& 2\\ 1& 0\end{array}\right]=\left[\begin{array}{cc}6& 3\\ 7& -1\end{array}\right]\\ X=\left[\begin{array}{cc}6& 3\\ 7& -1\end{array}\right]-\left[\begin{array}{cc}3& 2\\ 1& 0\end{array}\right]\\ X=\left[\begin{array}{cc}6-3& 3-2\\ 7-1& -1-0\end{array}\right]\\ X=\left[\begin{array}{cc}3& 1\\ 6& -1\end{array}\right]\end{array}$

Hence the solution for $X$ is $\left[\begin{array}{cc}3& 1\\ 6& -1\end{array}\right]$ .