Question B2 Consider the system of equations,
x + 2y - z = 7
-3y + 2x - 4z = -3
x + y + z = 0
i. Put the equations in matrix form, that is find matrix A and vector B Ax = B (4 marks)
ii. Compute the transpose AT and 2A + A (7 marks)
iii. Compute A2 A3 (8 marks)
iv. Compute det (A) (7 marks)
v. Solve for the unknowns x, y and z (8 marks)