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Let A be a nonsingular square matrix of order 3 × 3. Then |adj A| is equal to ______. - Mathematics

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Question

Let A be a nonsingular square matrix of order 3 × 3. Then |adj A| is equal to ______.

Options

  • |A|

  • |A|2

  • |A|3

  • 3|A|

MCQ
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Solution

Let A be a nonsingular square matrix of order 3 × 3. Then |adj A| is equal to |A|2.

Explanation:

Offended, we know that |adj A| = |A|n−1 where n = 3

∴ |adj A| = |A|2

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Chapter 4: Determinants - Exercise 4.5 [Page 132]

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NCERT Mathematics Part 1 and 2 [English] Class 12
Chapter 4 Determinants
Exercise 4.5 | Q 17 | Page 132

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