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

If `A={:[(3,2),(0,1)]:}" then:(A^(-1))^(3)=`

A

`(1)/(27){:[(1,-26),(0,27)]:}`

B

`(1)/(27){:[(1,26),(0,27)]:}`

C

`(1)/(27){:[(1,-26),(0,-27)]:}`

D

`(-1)/(27){:[(1,-26),(0,-27)]:}`

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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  8. For a invertible matrix A if A(adjA)=[(10,0),(0,10)], then |A|=

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  9. If A and B are square matrices of the same order such that A^(2)=A,B^(...

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

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  11. Solve system of linear equations, using matrix method, x y" "+" "2...

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  12. If A={:[(1,2),(3,4)]:}," then: " adj(adjA)=

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

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  14. If A={:[(2,-1,1),(1,2,1),(-1,1,3)]:}" then "|adj(adjA)|=

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  15. If A={:[(secx,tanx),(tanx,secx)]:}" and "A(adj*A)=k{:[(1,0),(0,1)]:},"...

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  16. If A=[[0,1] , [-1,0]]=(alphaI+betaA)^2 then alpha and beta =

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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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  20. If A=[a(ij)](3xx3) is a scalar matrix such that a(ij)=5" for all "i=j,...

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