5. Identify the identity matrix for the given matrix. Assume the identity matrix will be multiplied on the right side of the given matrix. \[ \left[\begin{array}{c} -4 \\ 10 \\ 7 \end{array}\right] \] $\left[\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right]$ $[1]$ $\left[\begin{array}{lll}1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1\end{array}\right]$ $\left[\begin{array}{lll}0 & 0 & 1 \\ 0 & 1 & 0 \\ 1 & 0 & 0\end{array}\right]$ $\left[\begin{array}{ll}0 & 1 \\ 1 & 0\end{array}\right]$

Step 1 ：Given the matrix \[\begin{bmatrix} -4 \\ 10 \\ 7 \end{bmatrix}\]

Step 2 ：We are asked to identify the identity matrix for the given matrix. The identity matrix is a square matrix with ones on the main diagonal and zeros elsewhere.

Step 3 ：The given matrix is a 3x1 matrix. The identity matrix for a 3x1 matrix is a 1x1 matrix with the value 1.

Step 4 ：This is because when a 3x1 matrix is multiplied by a 1x1 matrix, the result is a 3x1 matrix with the same values as the original matrix.

Step 5 ：So, the identity matrix for the given 3x1 matrix is a 1x1 matrix with the value 1.

Step 6 ：Final Answer: \(\boxed{[1]}\)