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If A=[a(i j)] is a square matrix of ev...

If `A=[a_(i j)]` is a square matrix of even order such that `a_(i j)=i^2-j^2` , then (a) `A` is a skew-symmetric matrix and `|A|=0` (b) `A` is symmetric matrix and `|A|` is a square (c) `A` is symmetric matrix and `|A|=0` (d) none of these

A

A is skew - symmetric

B

`|A|` is perfect square

C

A is symmetric and `|A|=0`

D

A is neither symmetric nor skew - symmetric

Text Solution

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The correct Answer is:
A, B
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