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If A=[a(ij)](mxxn) and a(ij)=(i^(2)+j^(2...

If `A=[a_(ij)]_(mxxn)` and `a_(ij)=(i^(2)+j^(2)-ij)(j-i)`, `n` odd, then which of the following is not the value of `Tr(A)` (a) `0` (b) `|A|` (c) `2|A|` (d) none of these

A

`0`

B

`|A|`

C

`2|A|`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
D
`(d)` AS `a_(ij)=(i^(2)+j^(2)-ij)(j-i)`
`a_(ji)=(j^(2)+i^(2)-ji)(i-j)=-a_(ij)`
`impliesA` is skew symmetric `impliesT_(r )(A)=0`
Also `|A|=0`
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