Answer
$True$
Work Step by Step
Just like the number 1, when you multiply any matrix with the identity matrix, it returns the original matrix.
Example:
$2\times 1 = 2$
$\begin{bmatrix}
1&2\\
3&4
\end{bmatrix}\times\begin{bmatrix}
1&0\\
0&1
\end{bmatrix} = \begin{bmatrix}
1&2\\
3&4
\end{bmatrix}$
