Q. 2 - Precalculus Enhanced with Graphing Utilities

Question

True or False 

Matrix addition is commutative.

Step-by-Step Solution

Answer

True.

Step 1. Given Information

Two matrix A & B.

Step 2. Calculation

$$\begin{gathered} Consider two matrix A \& B \\ let A=\left[\begin{array}{cc}1& 2\\ 3& 4\end{array}\right] \\ B=\left[\begin{array}{cc}2& 4\\ 3& -1\end{array}\right] \\ A+B=\left[\begin{array}{cc}1& 2\\ 3& 4\end{array}\right]+\left[\begin{array}{cc}2& 4\\ 3& -1\end{array}\right] \\ A+B=\left[\begin{array}{cc}3& 6\\ 6& -3\end{array}\right] \\ B+A=\left[\begin{array}{cc}3& 6\\ 6& -3\end{array}\right] \end{gathered}$$