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If A = [{:(0, " "4, -2), (x," " 0,-y), (...

If `A = [{:(0, " "4, -2), (x," " 0,-y), (2, -8, " "0):}]` is a skew-symmetric matrix, then x-y =_____.

A

`8`

B

`4`

C

`-12`

D

`-8`

Text Solution

Verified by Experts

The correct Answer is:
B
`P^(T) = -P`
`rArr [{:(0, x, 2), (4, 0, -8), (-2, -y, 0):}] = [{:(0, -4, 2), (-x, 0, y), (-2, 8, 0):}]`
`therefore x =-4, y = -8`
`rArr x - y = -4 + 8 = 4.`
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