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Let A and B be any two 3 × 3 matrices. If Ais symmetric and B is skew symmetric, thenthe matrix AB–BA is
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By Expert Faculty of Sri Chaitanya
a
skew symmetric
b
symmetric
c
neither symmetric not skew symmetric
d
I or -I, where I is an identity matrix
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Correct option is B
We are given
Now
i.e.
Hence, AB-BA is a skew-symmetric matrix.
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