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If A is skew-symmetric matrix, then A2 is a symmetric matrix.

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Question

If A is skew-symmetric matrix, then A2 is a symmetric matrix.

Options

  • True

  • False

MCQ
True or False
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Solution

This statement is True.

Explanation:

(A2)' = (A')2

= [– A]2   ....[∵ A' = – A]

= A2

So, A2 is a symmetric matrix.

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Chapter 3: Matrices - Exercise [Page 64]

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NCERT Exemplar Mathematics Exemplar [English] Class 12
Chapter 3 Matrices
Exercise | Q 100 | Page 64

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