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If A={:[(1+i,-i),(i,1+i)]:}," where "i=s...

If `A={:[(1+i,-i),(i,1+i)]:}," where "i=sqrt(-1)," and "A^(2)-2A+I=0," then ":A^(-1)=`

A

`{:[(1-i,i),(-i,1-i)]:}`

B

`{:[(1-i,-i),(i,1+i)]:}`

C

`{:[(1+i,i),(-i,1-i)]:}`

D

`{:[(1+i,-i),(i,1-i)]:}`\

Text Solution

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The correct Answer is:
A
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MARVEL PUBLICATION-MATRICES-TEST YOUR GRASP
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  7. If AC=A" and "BA=B," then: "A^(2)=

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  13. If A={:[(4,2),(5,3)]:}" then :"|adj(adjA)|=

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  18. If A={:[(2,3),(1,2)]:}" and "B={:[(3,1),(1,0)]:}," then: "B^(-1)A^(-1)...

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  19. If square matrices A and B are such that A^(2)=A,B^(2)=B and A,B commu...

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