Given:
A product of square matrix A and identity matrix I.
Required:
Which matrix defined the product of square matrix A and identity I.
Explanation:
We will do matrix multiplication
[tex]\begin{gathered} \begin{bmatrix}{2} & {1} \\ {3} & {4}\end{bmatrix}\begin{bmatrix}{1} & {0} \\ {0} & {1}\end{bmatrix}=\begin{bmatrix}{2} & {1} \\ {3} & {4}\end{bmatrix} \\ \begin{bmatrix}{2+0} & {0+1} \\ {3+0} & {0+4}\end{bmatrix}=\begin{bmatrix}{2} & {1} \\ {3} & {4}\end{bmatrix} \\ \begin{bmatrix}{2} & {1} \\ {3} & {4}\end{bmatrix}=\begin{bmatrix}{2} & {1} \\ {3} & {4}\end{bmatrix} \end{gathered}[/tex]
Answer:
Option A is correct.
