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if A=[{:(0,1),(1,0):}],"then"A^(4)=?...

`if A=[{:(0,1),(1,0):}],"then"A^(4)=?`

A

`[{:(1,0),(0,1):}]`

B

`[{:(1,1),(0,0):}]`

C

`[{:(0,0),(1,1):}]`

D

`[{:(0,1),(1,0):}]`

Text Solution

Verified by Experts

The correct Answer is:
A
`A=[{:(0,1),(1,0):}]`
`A^(4)=A^(2).A^(2)`
`=ul([{:(0,1),(1,0):}][{:(0,1),(1,0):}]).ul([{:(0,1),(1,0):}][{:(0,1),(1,0):}])`
`=[{:(0,1),(1,0):}].[{:(0,1),(1,0):}]`
`=[{:(0,1),(1,0):}]`
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