Question

Hey I need help , 8i was studying but I don’t get this part right here

Answer 1

Given: Matrix statements in the given options

To determine: The correct answer that shows commutative property does not hold for matrix multiplication

Solution

It is known that matrix multiplication is not commutative. if A and B are two non-zero matrices, then

`AB\\e BA`

If

`\begin{gathered} A=\begin{bmatrix}{-5} & {8} \\ {1} & {3}\end{bmatrix} \\ B=\begin{bmatrix}{4} & {2} \\ {7} & {9}\end{bmatrix} \\ Then \\ \begin{bmatrix}{-5} & {8} \\ {1} & {3}\end{bmatrix}\begin{bmatrix}{4} & {2} \\ {7} & {9}\end{bmatrix}\\e\begin{bmatrix}{4} & {2} \\ {7} & {9}\end{bmatrix}\begin{bmatrix}{-5} & {8} \\ {1} & {3}\end{bmatrix} \end{gathered}`

Hence, OPTION C is the correct answer