Chapter 4.3, Problem 48HP

To determine

To find: The matrices A and B.

Answer to Problem 48HP

The matrices A and B is $\text{A}=\text{B}=\left[\begin{array}{cc}1& 1\\ 1& 1\end{array}\right]$

Explanation of Solution

Given:

Given that matrix AB=BA

Calculation:

Assume the value of matrix A and B are,

  $\text{A}=\text{B}=\left[\begin{array}{cc}1& 1\\ 1& 1\end{array}\right]$

The multiplication is same as there is no restriction on the values, so assume the same values.

Thus, the matrices A and B is $\text{A}=\text{B}=\left[\begin{array}{cc}1& 1\\ 1& 1\end{array}\right]$