Answer Happy

Problem 15. (4 points) Select all statements below which are true for all invertible n x n matrices A and B A. A is invertible B. AB = BA OC. (A+ A 1)2 = A? + A 2 OD. (A + B)2 = A2 + B2 + 2AB OE. (In - A)(I, + A) = I1 - A2 DE A + B is invertible
Problem 16. (8 points) The reduced row-echelon forms of the augmented matrices of four systems are given below. How many solutions does each system have? a 10 120 0 1 1 0 0 0 0 1 OA. No solutions OB. Unique solution OC. Infinitely many solutions D. None of the above b lil_ นี้ A. Infinitely many solutions B. No solutions C. Unique solution OD. None of the above C 1 0 0 171 0 1 O A. Infinitely many solutions B. Unique solution OC. No solutions OD. None of the above d 0 1 0 0 0 1 OA. No solutions OB. Unique solution C. Infinitely many solutions OD. None of the above