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Tamil Nadu Board of Secondary EducationHSC Science Class 12

Choose the correct alternative: If A B, and C are invertible matrices of some order, then which one of the following is not true? - Mathematics

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Question

Choose the correct alternative:

If A B, and C are invertible matrices of some order, then which one of the following is not true?

Options

  • adj A = |A|A1

  • adj(AB) = (adj A)(adj B)

  • det A–1 = (det A)1

  • (ABC)1 = C1B1A1

MCQ

Solution

adj(AB) = (adj A)(adj B)

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Inverse of a Non-singular Square Matrix
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Chapter 1: Applications of Matrices and Determinants - Exercise 1.8 [Page 48]

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Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 12 TN Board
Chapter 1 Applications of Matrices and Determinants
Exercise 1.8 | Q 9 | Page 48

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