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If matrix A=[a(ij)](3xx), matrix B=[b(ij...

If matrix `A=[a_(ij)]_(3xx)`, matrix `B=[b_(ij)]_(3xx3)`, where `a_(ij)+a_(ji)=0` and `b_(ij)-b_(ji)=0 AA i`, `j`, then `A^(4)*B^(3)` is

A

skew- symmetric matrix

B

singular

C

symmetric

D

Both B & C

Text Solution

Verified by Experts

The correct Answer is:
D
Since, A is skew-symmetric.
`therefore abs(A)=0`
`rArr abs(A^(4) B^(3)) = abs(A^(4)) abs(B^3) = abs(A)^(4) abs(B)^(3) = 0`
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  16. Show that A is a symmetric matrix if A= [ (1,0), (0, -1)]

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