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Which of the following is a skew symmet...

Which of the following is a skew symmetric matrix?

A

`[(3,1,2),(1,4,6),(2,6,5)]`

B

`[(2,-1,3),(1,1,4),(-3,-4,6)]`

C

`[(0,1,-2),(-1,0,3),(2,-3,0)]`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
a. `A'=[(3,1,2),(1,4,6),(2,6,5)]=[(3,1,2),(1,4,6),(2,6,5)]=A`
It is not skew symmetric matrix.
`A'=[(2,-1,3),(1,1,4),(-3,-4,6)]=[(2,-1,-3),(-1,1,-4),(3,4,6)]`
`A'=-[(-2,-1,3),(1,-1,4),(-3,-4,-6)]!=-A`
It is not skew symmetric matrix.
c. `A'=[(0,1,-2),(-1,0,3),(2,-3,0)]=[(0,-1,2),(1,-0,-3),(-2,3,0)]`
`=-[(0,1,-2),(-1,0,3),(2,-3,0)]=-A`
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