English

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

Advertisements
Advertisements

Question

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

Options

  • 81

  • –81

  • –27

  • –9

MCQ
Fill in the Blanks

Solution

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

shaalaa.com
  Is there an error in this question or solution?
Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×