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

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

A

`3I`

B

`4I`

C

`5I`

D

`6I`

Text Solution

Verified by Experts

The correct Answer is:
C
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MARVEL PUBLICATION-MATRICES-TEST YOUR GRASP
  1. For a invertible matrix A if A(adjA)=[(10,0),(0,10)], then |A|=

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

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

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

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

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

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

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

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

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

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

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

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

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  14. If A={:[(1,a),(0,1)]:}," then, for all "ninN," matrix "A^(n)=

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  15. If A={:[(0,5),(4,0)]:}" and "A^(-1)=kA," then: "k=

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  16. If f(x)=1+x+x^(2)+x^(3)" and "A={:[(0,3),(0,0)]:}," then: "f(A)=

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  17. If A=-BAB^(-1)," then: "(A+B)^(2)=

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  18. If omega is a complex cube -root of unity and A'={:[(omega),(omega)]:}...

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  19. If det(adjA)=|A|^(2), then the order of matrix A is

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  20. If {:A=[(1,0,0),(0,1,0),(a,b,-1)]:}, then A^2 is equal to

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