Question

Let A and B be 3 × 3 matrices, then AB = O implies:

• A. A = O and B = O
• B. | A | = 0 and |B| = 0
• C. Either | A | = 0 or | B | = 0
• D. A = O or B = O

Answer 1

Answer: (B)

| A | = 0 and |B| = 0

Answer 2

If AB = O

Then |AB| = 0

i.e., |A| |B| = 0

̃ |A| = 0 and |B| = 0