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Find matrices A and B, if 2A - B = [[6, ...

Find matrices `A` and `B`, if `2A - B = [[6, -6, 0], [-4, 2, 1]]` and `2B + A = [[3, 2, 5], [-2, 1, -7]]`

A

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

B

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

C

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

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
5A=2(2A-B)+(2B+A) Then , A=1/5(5A).
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RS AGGARWAL-SYSTEM OF LINEAR EQUATIONS-Objective Questions
  1. IfA=[(2,0),(-3,1)] and B=[(4,-3),(-6,2)] are such that 4A+3X=5B then x...

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  2. If (A-2B)=[(1,-2),(3,0)] and (2A-3B)=[(-2,2),(3,-3)] then B=?

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  3. Find matrices A and B, if 2A - B = [[6, -6, 0], [-4, 2, 1]] and 2B + ...

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  4. If 2[(3,4),(5,x)]+[(1,y),(0,1)]=[(7,0),(10,5)] then

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  5. If [(x-y,2x-y),(2x+z,3z+w)]=[(-1,0),(5,13)]

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  6. Solve for x and y, given that [{:(x,y),(3y,x):}][{:(1),(2):}]=[{:(3),(...

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  7. In the matrix A=[(3-2x,x+1),(2,4)] is singular then X=?

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  8. If A(alpha)=[(cosalpha,sinalpha),(-sinalpha,cosalpha)] then (A(alpha))...

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  9. if A=[[cosalpha,sinalpha],[-sinalpha,cosalpha]] be such that A+A'=I th...

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  10. If A=[(1,k,3),(3,k,-2),(2,3,-4)] is singular then K=?

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  11. If A = [(a; b); (c; d)]; find adjA

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  12. If A=[{:(2x,0),(x,x):}]and A^(-1)=[{:(1,0),(-1,2):}], then what is the...

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  13. If A and B are square matrics of the same order then (A+B)(A-B)=?

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  14. If A and B are square matrics of the same order then (A+B)^2=?

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  15. If A and B are square matrics of the same order then (A-B)^2=?

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  16. If A and B are symmetric matrices of the same order then (AB-BA) is al...

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  17. Matrices A and B will be inverse of each other only if (A) A B" "="...

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  18. If A; B are non singular square matrices of same order; then adj(AB) =...

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  19. If A is a 3-rowed square matrix and |A|=4 then |adjA|=?

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  20. If A is a 3-rowed square matrix and |A|=5 then |adjA|=?

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