Tamil Nadu Board of Secondary EducationHSC Arts Class 12

Choose the correct alternative: If A is a non-singular matrix such that A–1 = [53-2-1], then (AT)–1 = - Mathematics

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MCQ

Choose the correct alternative:

If A is a non-singular matrix such that A–1 = `[(5, 3),(-2, -1)]`, then (AT)1 =

Options

  • `[(-5, 3),(2, 1)]`

  • `[(5, 3),(-2, -1)]`

  • `[(-1, -3),(2, 5)]`

  • `[(5, -2),(3, -1)]`

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Solution

`[(5, -2),(3, -1)]`

Concept: Inverse of a Non-singular Square Matrix
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Chapter 1: Applications of Matrices and Determinants - Exercise 1.8 [Page 49]

APPEARS IN

Tamil Nadu Board Samacheer Kalvi Class 12th Mathematics Volume 1 and 2 Answers Guide
Chapter 1 Applications of Matrices and Determinants
Exercise 1.8 | Q 12 | Page 49

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