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If matrix A=[(1,2),(4,3)] such that ...

If matrix ` A=[(1,2),(4,3)]` such that `Ax =I` then x=

A

`(1)/(5)[(1,3),(2,-1)]`

B

`(1)/(5)[(4,2),(4,-1)]`

C

`(1)/(5)[(-3,2),(4,-1)]`

D

`(1)/(5)[(-1,2),(-1,4)]`

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The correct Answer is:
c
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TARGET PUBLICATION-MATRICES-COMPETITIVE THINKING (Inverse off a matrix )
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  2. If A=[(0,1,2),(1,2,3),(3,1,1)], then the sum of the all the diagonal e...

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  3. If matrix A=[(1,2),(4,3)] such that Ax =I then x=

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  4. The matrix A satisfying A[(1,5),(0,1)]=[(3,-1),(-1,4)] is

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

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  6. A=[{:(0,3),(2,0):}] and A^(-1)=lambda (adj, A) then lambda is equal to

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  7. Let A=[1 0 0 0 1 1 0-2 4],I=[1 0 0 0 1 0 0 0 1]a n dA^(-1)=[1/6(A^2+c ...

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  8. If I(3) is identity matrix of order 3, then I(3)^(-1)=

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  9. If for the matrix A ,\ A^3=I , then A^(-1)= A^2 (b) A^3 (c) A (d) non...

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  10. If A^(2) - A + I = 0 then A^(-1) is equal to

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  11. If A and B are two square matrices such that B=-A^(-1)BA, then (A+B)^(...

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  12. If A and B are square matrices of the same order and A is non-singular...

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  13. Let for any matrix M,M^(-1) exists, which of the followint is not true...

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  14. If A=[(2,2),(-3,2)], B=[(0,-1),(1,0)] then (B^(-1)A^(-1))^(-1) is equa...

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  15. IF A =[(1,2,3),(-1,1,2),( 1,2,4)]"then " (A^(2) -5A) A^(-1)=

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  19. If [{:(1,1,1),(1,-2,-2),(1,3,1):}][{:(x),(y),(z):}]=[{:(0),(3),(4):}],...

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  20. If [(1,3,3),(1,4,4),(1,3,4)][(x),(y),(z)]=[(12),(15),(13)] , then the ...

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