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The element in the first row and third c...

The element in the first row and third column of the inverse of the matrix `[(1,2,-3),(0,1,2),(0,0,1)]` is

A

`-2`

B

0

C

1

D

7

Text Solution

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The correct Answer is:
d
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TARGET PUBLICATION-MATRICES-COMPETITIVE THINKING (Inverse off a matrix )
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  3. The element in the first row and third column of the inverse of the ma...

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  4. If A=[(0,1,2),(1,2,3),(3,1,1)], then the sum of the all the diagonal e...

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

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

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

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

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

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

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

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

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

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

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

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

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  19. If [(1,2,-3),(0,4,5),(0,0,1)][(x),(y),(z)]=[(1),(1),(1)], then (x, y, ...

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  20. The solutiion of (x,y,z) the equation [(-1,0,1),(-1,1,0),(0,-1,1)][(x)...

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