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Question

If matrix A=[aij]3×3,matrix B=[bij]3×3 where aij+aji=0 and bijbji=0,then A4.B3 is

A
skew-symmetric matrix
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B
singular
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C
symmetric
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D
zero matrix
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Solution

The correct option is B singular
Since matrix A is skew-symmetric,
|A|=0
|A4.B3|=0

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