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प्रश्न
If A is a symmetric matrix, then A3 is a ______ matrix.
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उत्तर
If A is a symmetric matrix, then A3 is a symmetric matrix.
Explanation:
Given A is symmetric matrix
∴ A' = –A
Now (A3)' = (A')3 .....[∵ (A')n = (An)']
= A3
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