8. A, B and C are invertible matrices which satisfy the matrix equation BA = C. a. Solve the matrix equation for A. b. Solve the matrix equation for A^-1. [4 marks] Solution Given that BA = C Multiply by B-1 both the sides A = B-1C ----------------------------------------------------------------- BA = C Multiply both sides right by A inverse B = CA-1 Multiply by C-1 left C-1B = A-1.