Answer
The multiplicative identity matrix of order $2$ is ${{I}_{2}}=\left[ \begin{matrix}
1 & 0 \\
0 & 1 \\
\end{matrix} \right]$
Work Step by Step
The multiplicative identity of the matrix is denoted by ${{I}_{N}}$. In the $n\times n$ square matrix, we have $n$ elements with 1 down the main diagonal and 0s elsewhere. The multiplicative identity is the property of multiplication which states that when 1 is multiplied by any real number, the real number does not change; the
number 1 is called the multiplicative identity for real numbers.
The identity matrix is:
${{I}_{2}}=\left[ \begin{matrix}
1 & 0 \\
0 & 1 \\
\end{matrix} \right]$
