8. Identify the identity matrix for the given matrix. Assume the identity matrix will be multiplied on the right side of the given matrix.
\[
\left[\begin{array}{cc}
10 & 0 \\
3 & -9 \\
10 & -7
\end{array}\right]
\]
$\left[\begin{array}{ll}0 & 1 \\ 1 & 0\end{array}\right]$
$[1]$
$\left[\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right]$
$\left[\begin{array}{lll}1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1\end{array}\right]$
$\left[\begin{array}{lll}0 & 0 & 1 \\ 0 & 1 & 0 \\ 1 & 0 & 0\end{array}\right]$

Step 1 ：The identity matrix is a square matrix with ones on the main diagonal and zeros elsewhere.

Step 2 ：The identity matrix for a matrix A is the matrix I such that AI = A and IA = A.

Step 3 ：The identity matrix is always a square matrix, which means the number of rows is equal to the number of columns.

Step 4 ：The given matrix is a 3x2 matrix, which means it does not have an identity matrix because the identity matrix must be a square matrix.

Step 5 ：Therefore, none of the provided options can be the identity matrix for the given matrix.

Step 6 ：\(\boxed{\text{The given matrix does not have an identity matrix.}}\)