Question: 4. Solve the matrix equation AX = I, where A is the matrix in question 2 and I is the identity matrix. 2. for the

4. Solve the matrix equation AX = I, where A is the matrix in question 2 and I is the identity matrix. 2. for the following matrix A: 12 1 11 A=14 3 4 12 3 8) a. Use Dolittle LU decomposition to obtain the associated triangular matrices L and U for A. b. Calculate the determinant of A BY HAND and show how to use MATLAB to obtain it c. Calculate the inverse of A BY HAND and show how to use MATLAB to obtain it. d. Use MATLAB to obtain the eigenvalues and eigenvectors of A and identify them as pairs. Write down their relationships (do not need to calculate them)

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