Using your knowledge of matlab and linear algebra solve the follow

Consider the following matrices T, D, A, and B. T = [t_11 0 0 t_12 t_22 0 t_13 t_23 t_33], D = [d_11 0 0 0 d_22 0 0 0 d_33], A = [a_11 a_21 a_12 a_22], B = [b_11 b_21 b_12 b_22] Compute the determinant of T. Based on this solution, what do you expect the determinant of a general, n times n, triangular matrix (upper or lower) to be? Explain. Does the determinant of D conform to this expectation? Compute the eigenvalues of D. Based on this solution, what do you expect the eigenvalues of a general, n times n, diagonal matrix to be? Explain. Compute the eigenvalues of AB. What are the eigenvalues if B = A? You are encouraged to use MATLAB's symbolic math toolbox to assist with algebraic manipulations