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If matrix A=[a(ij)](2X2), where a(ij)=...

If matrix `A=[a_(ij)]_(2X2)`, where ` a_(ij)={[1,i!=j],[0,i=j]}, then A^2` is equal to

A

`[[1,0],[1,0]]`

B

`[[1,1],[0,0]]`

C

`[[1,1],[1,0]]`

D

`[[1,0],[0,1]]`

Text Solution

Verified by Experts

The correct Answer is:
D
`A=``[[a_11,a_12],[a_21,a_22]]`

`a_11:1 , a_12:0`

`a_21:0 , a_22:1`

`A=[[1,0],[0,1]]`

...
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