English

If A is a matrix of order 3 × 3, then |3A| = ______.

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Question

If A is a matrix of order 3 × 3, then |3A| = ______.

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Solution

If A is a matrix of order 3 × 3, then |3A| = 27|A|.

Explanation:

We know that for a matrix of order 3 × 3

|KA| = K3|A|

∴ |3A| = 33|A|

= 27|A|

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Chapter 4: Determinants - Exercise [Page 83]

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NCERT Exemplar Mathematics Exemplar [English] Class 12
Chapter 4 Determinants
Exercise | Q 38 | Page 83
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