Chapter 4.2, Problem 42HP

To determine

To find: The find the sum of the matrix.

Answer to Problem 42HP

The sum of the matrices is $\left[\begin{array}{cc}-3& 5\\ 2& 7\end{array}\right]$ .

Explanation of Solution

Given:

The given matrices are,

  $\begin{array}{l}A=\left[\begin{array}{cc}-7& 3\\ 2& 6\end{array}\right]\\ B=\left[\begin{array}{cc}4& 2\\ 0& 1\end{array}\right]\end{array}$

Calculation:

Consider the given matrices are,

  $\begin{array}{l}A=\left[\begin{array}{cc}-7& 3\\ 2& 6\end{array}\right]\\ B=\left[\begin{array}{cc}4& 2\\ 0& 1\end{array}\right]\end{array}$

Then the sum of the matrices is,

  $\begin{array}{c}A+B=\left[\begin{array}{cc}-7& 3\\ 2& 6\end{array}\right]+\left[\begin{array}{cc}4& 2\\ 0& 1\end{array}\right]\\ =\left[\begin{array}{cc}-7+4& 3+2\\ 2+0& 6+1\end{array}\right]\\ =\left[\begin{array}{cc}-3& 5\\ 2& 7\end{array}\right]\end{array}$