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If {:A=[(1,0,0),(0,1,0),(a,b,-1)]:}, the...

If `{:A=[(1,0,0),(0,1,0),(a,b,-1)]:}`, then `A^2` is equal to

A

0

B

`-A`

C

`l`

D

`2A`

Text Solution

Verified by Experts

The correct Answer is:
C
Given `A=[(1,0,0),(0,1,0),(a,b,-1)]`
Now `A^(2)=[(1,0,0),(0,1,0),(a,b,-1)][(1,0,0),(0,1,0),(a,b,-1)]`
`=[(1+0+0,0+0+0,0+0+0),(0+0+0,0+1+0,0+0+0),(a+0-a,0+b-b,0+0+1)]`
`=[(1,0,0),(0,1,0),(0,0,1)]=l`
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