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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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