Question

If A and B are square matrices of order 3 × 3 and |A| = –1, |B| = 3, then |3AB| equals ______.

विकल्प

• 81

• –81

• –27

• –9

Answer 1

If A and B are square matrices of order 3 × 3 and |A| = –1, |B| = 3, then |3AB| equals –81.

Explanation:

|3AB| = 27|AB|

= 27|A||B|

= 27(–1) × 3

= –81