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