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If A=[(1,0,0),(0,1,0),(a,b,-1)] then A^2...

If `A=[(1,0,0),(0,1,0),(a,b,-1)]` then `A^2` is equal to (A) null matrix (B) unit matrix (C) `-A` (D) `A`

A

a null matrix

B

a unit matrix

C

`-A`

D

A

Text Solution

Verified by Experts

We have,
`{:A^2=[(1,0,0),(0,1,0),(a,b,-1)][(1,0,0),(0,1,0),(a,b,-1)]=[(1,0,0),(0,1,0),(0,0,1)]:}`=a unit matrix.
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