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If the product of the matrix B=[(2,6,4...

If the product of the matrix `B=[(2,6,4),(1,0,1),(-1,1,-1)]` with a matrix A has inverse `C=[(-1,0,1),(1,1,3),(2,0,2)]` then `A^-1=`

A

`[(-3,-5,5),(0,9,14),(2,2,16)]`

B

`[(-3,5,5),(0,0,9),(2,14,16)]`

C

`[(-3,-5,-5),(0,0,2),(2,14,6)]`

D

`[(-3,-3,-5),(0,9,2),(2,14,6)]`

Text Solution

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The correct Answer is:
C
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MCGROW HILL PUBLICATION-MATRICES-SOLVED EXAMPLES ( LEVEL 1 ( Single Correct Answer Type Questions ) )
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  2. If A, B, and C are three square matrices of the same order, then AB=AC...

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  3. If the product of the matrix B=[(2,6,4),(1,0,1),(-1,1,-1)] with a m...

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  4. If omega is a complex cube root of unity then the matrix A = [(1, omeg...

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  5. [{:(,0,1,2),(,1,2,3),(,3,a,1):}],=A^(-1)=[{:(,1//2,-1//2,1//2),(,-4,3,...

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  6. Let A=[[a,b],[c,d]] be a 2xx2 real matrix. If A-alphaI is invertible f...

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  7. If A =[(1,2),(3,4)] then A^(2)-5A equals

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

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  9. If A^2-A +I = 0, then the inverse of A is: (A) A+I (B) A (C) ...

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  10. Let A=[1-1 1 2 1-3 1 1 1]a n d10 B=[-4 2 2-5 0alpha1 2 3]dot If B is...

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  11. If A=[(a,b),(b,a0] and A^2=[(alpha, beta0,(beta, alpha)] then (A) alph...

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  12. Let omega!=1 be cube root of unity and S be the set of all non-singula...

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  13. If a matrix A is both symmetric and skew-symmetric, then A is a dia...

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  14. Let A = [(2,-1),(3,4)], B = [(5,2),(7,4)] , C = [(2,5),(3,8)] . Let ...

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  15. If A^2 = A, then (I + A)^(4) is equal to

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  16. The matrix A = [(0,0,-7),(0,-7,0),(-7,0,0)] is a

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  17. If A=[3 5],B=[7 3], then find a non-zero matrix C such that AC=BC.

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  18. Find the values of x, y, z if the matrix A=[0 2y z x y-z x-y z] sat...

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  19. Suppose A is square matrix such that A^(3) =I then (A+I)^(3) +(A-I)^...

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  20. The number of 3xx3 matrices A whose entries are either 0 or 1 and for ...

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