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प्रश्न
AA′ is always a symmetric matrix for any matrix A.
विकल्प
True
False
उत्तर
This statement is True.
Explanation:
Let P = AA'
P' = (AA')'
= (A')' . A' .....[(AB)' = B'A']
= AA'
= P
So, P is symmetric matrix.
Hence, AA' is always a symmetric matrix.
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