1. Three matrices A, B, and C are given: (5 4- 31 2 - 6) (1 4 31 2 5) (1 -33 5 1 2) Find: a) 2A-3B b)AC d)(AC)2 2.MatrixAis (Z 113 025 11) Find: i) inverse matrix ii) ii)demon5trate that A A4: A'lA = I 3. (3 p.) Matrices A, X, B1 and B2 are given. A. X, B1, B2, 1 2 1 I" 12- 2' 2 1 1 Y 11 4 1 3 1 z. 15' 5. Solve the following systems using matrix method: i) AX=B1 ii) AX=B2 2 marks. 2 marks 2 marks. 4 marks. 4 marks. 4 marks 4 marks. 4. Solve system using: 3x - y = 11 -4x + 5}! = B 1) Matrix method 2 marks. ii) Cramer's rule 2 marks. iii) Graphical method. For graphical method, use slope-intercept method for the first equation, and x- and y- intercept method for second equation. 4 marks. 5. Three equations are given below. -x + y + 32 = 15 2x - y - 22 = 18 -4x + 2y + 5: =11 Solve the system of equations using: 1) \"Addition\" (Gaussian elimination) method 4 marks. 11) Matrix Method 4 marks. 6. Solve the system 3x + y + 42 = 1 -x + By + 10: = 2 x - 5y = 2 4marks