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If A{:[(7,6,-1),(4,2,3),(1,3,0)]:}={:[(4...

If `A{:[(7,6,-1),(4,2,3),(1,3,0)]:}={:[(4,2,3),(1,2,0),(7,6,-1)]:}` then A=

A

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

B

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

C

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

D

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

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The correct Answer is:
D
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If A=[(3,9,0),(1,8,-2),(7,5,4)], B=[(4,0,2),(7,1,4),(2,2,6)] , verify that 3(A+B)=3A+3B .

If A=[(2,1,1),(3,-1,0),(0,2,4)], B=[(9,7,-1),(3,5,4),(2,1,6)] and C=[(2,-4,3),(1,-1,0),(9,4,5)]. Varify associative law for matrix addition.

The order of the matrices [{:(1,2,3),(4,5,-1):}], [{:(2,4),(9,2),(6,3),(4,1):}] , [{:(4,5,6),(3,2,1),(9,8,7):}] respectively are :

show that (i) [{:(5,-1),(6,7):}][{:(2,3),(3,4):}]ne[{:(2,3),(3,4):}][{:(5,-1),(6,7):}] (ii) [{:(1,2,3),(0,1,0),(1,1,0):}][{:(-1,1,0),(0,-1,1),(2,3,4):}] ne[{:(-1,1,0),(0,-1,1),(2,3,4):}][{:(1,2,3),(0,1,0),(1,1,0):}]

Expand |{:(3,-5,4),(7,6,1),(1,2,3):}|

MARVEL PUBLICATION-MATRICES-TEST YOUR GRASP
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  6. If A=[(x,1),(1,0)] and A=A^(-1), then x= . . . .

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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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  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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