Question

If A and Bare square matrices of order 3 such that |A| = 2, |B| = 4, then |A(adj B)| = ______.

Options

• 16

• 8

• 64

• 32

Answer 1

If A and Bare square matrices of order 3 such that |A| = 2, |B| = 4, then |A(adj B)| = 32.

Explanation:

We have, A and B are square matrices of order 3 such that

|A| = 2, |B| = 4

Now, |A(adj B)| = |A| |adj B|    ...(∵ |AB| = |A||B|)

|A||B|^3-1

= |A||B|² = (2)(4)² = 32