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(A3)–1 = (A–1)3, where A is a square matrix and |A| ≠ 0. - Mathematics

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Question

(A3)–1 = (A–1)3, where A is a square matrix and |A| ≠ 0.

Options

  • True

  • False

MCQ
True or False

Solution

This statement is True.

Explanation:

Since (AK)–1 = (A–1)K where K ∈ N

So, (A3)–1 = (A–1)3

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Chapter 4: Determinants - Exercise [Page 84]

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NCERT Exemplar Mathematics [English] Class 12
Chapter 4 Determinants
Exercise | Q 48 | Page 84

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