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If A and B are matrices of order 3 and |A| = 5, |B| = 3, then |3AB| = 27 × 5 × 3 = 405.

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Question

If A and B are matrices of order 3 and |A| = 5, |B| = 3, then |3AB| = 27 × 5 × 3 = 405.

Options

  • True

  • False

MCQ
True or False
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Solution

This statement is True.

Explanation:

|3AB| = 33|AB|

= 27|A||B|

= 27 × 5 × 3   ......[∵ |KA| = Kn|A|]

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Chapter 4: Determinants - Exercise [Page 84]

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NCERT Exemplar Mathematics Exemplar [English] Class 12
Chapter 4 Determinants
Exercise | Q 51 | Page 84
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