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Let A =[(1,-1,1),(2,1,-3),(1,1,1)] an...

Let `A =[(1,-1,1),(2,1,-3),(1,1,1)]` and `10B=[(4,2,2),(-5,0,alpha),(1,-2,3)]`. If B is the inverse of A, then `alpha` is :

A

`-2`

B

`-1`

C

2

D

5

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The correct Answer is:
D
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Let A=[(1,-1,1),(2,1,-3),(1,1,1)] and B=[(4,2,2),(-5,0,alpha),(1,-2,3)] If B is the inverse of matrix A , then alpha= (A) 2 (B) -2 (C) 5 (D) -5

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MARVEL PUBLICATION-MATRICES-TEST YOUR GRASP
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  2. If A=[a(ij)](2xx2)" where "a(ij)=2i+j," then :"A=

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  3. If A+3B={:[(1,2,3),(-2,3,5)]:}" and "2A+3B={:[(2,-1,4),(-1,5,2)]:}," t...

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  4. If A and B are square matrices of order 3 such that det(A)=-2 and det(...

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  7. If AC=A" and "BA=B," then: "A^(2)=

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

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

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

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