मराठी

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

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प्रश्न

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

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उत्तर

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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पाठ 3: Matrices - Exercise [पृष्ठ ६२]

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