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Question
If A is a skew-symmetric matrix, then A2 is a ______.
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Solution
If A is a skew-symmetric matrix, then A2 is a symmetric matrix.
Explanation:
Given A is skew-symmetric matrix.
∴ A' = –A
∴ (A2)' = (A')2
= (–A)2
= A2
So, A2 is a symmetric martix.
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