Try to solve these questions please

Q 2: [6+4 marks] 1 2 1 a) Let E = 0 1 3 . Find all values of r for which E has inverse. Find, if 1 0 rl possible, E * forr = -1. b) Let A = 0 21. Find all possible 2 x 2 matrices B such that AB = 02. Q-3: [5+5 marks] X1 + 2x2 - X3 - 2x4 = 2 a) Find the solution set of the linear system:2x, + X2 - 2x3 + 2x4 = 1. (X1+ 2x2 + 3X3 + 2x4 = 6 O NIH NIENIENIE b) Let A = O NIHNIUNIH NIHNIHNIMNIH Evaluate | Al. NINA NIN Q 4: [5+5 marks] a) Determine whether the vector (9,0,9) is a linear combination of the vectors (1,1,0), (1,0,1), (2,1,1) and (0,1, -1). b) Determine whether the vectors (0,3, -1,2), (1,2,1, -2) and (3,0,5, -10) in R* are linearly independent