Question 1: Matrix operations Consider the following matrices: -1 2 3 .T. A = 2 B = and x = 2 2 -2 (1.2) Find the augmented matrices [A |B] and [Is |B]. Question 2: Determinant of Matrices [25] (2.1) Let A = [ajj], i, j = 1, .. ,n be a square matrix of order n 2 1, that is, 211 012 5.. 421 22 A = . (a) Assume that the matrix A is invertible. Then show that A where | A and |A- represent the determinant of the matrix A and the determinant of the inverse of the matrix A respectively. (b) Show that JATI = JAI. (2.2) If |A | = 2 and B| = 5. Calculate the following determinant: AB 'AB