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Find a matrix X such that X.[(3,2),(1,-1...

Find a matrix X such that `X.[(3,2),(1,-1)]=[(4,1),(2,3)]`.

A

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

B

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

C

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

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C

Let `[(a,b),(c,d)][(3,2),(1,-1)]=[(4,1),(2,3)]` Find a, b , c and d
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RS AGGARWAL-SYSTEM OF LINEAR EQUATIONS-Objective Questions
  1. If A is a 3-rowed square matrix and |A|=5 then |adjA|=?

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  2. For any two matrices A and B , we have

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  3. Find a matrix X such that X.[(3,2),(1,-1)]=[(4,1),(2,3)].

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  4. If A is an invertible square matrix then |A^(-1)|=?

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  5. If A; B are invertible matrices of the same order; then show that (AB)...

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  6. If A and B are two nonzero square matrices of the same order such that...

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  7. If A is square matrix such that |A| ne 0 and A^2-A+2I=O " then " A^(-1...

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  8. If A=[(1,lambda,2),(1,2,5),(2,1,1)] is not invertible then lambda=?

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  9. If A=[(costheta,-sintheta),(sintheta,costheta)] " then " A^(-1) =?

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  10. If A=[(ab,b^2),(-a^2,-ab)] then matrix A is (A) scalar (B) involuntary...

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  11. If A=[[2,-2,-4],[-1,3,4],[1,-2,-3]] then A is 1) an idempotent matrix ...

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  12. If A is singular then A(adjA)=?

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  13. if for any 2*2 square matrix A , A(adjA)=[[8 , 0] , [0 , 8]] then writ...

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  14. If A=[(-2,3),(1,1)] then |A^(-1)|=?

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  15. If A=[{:(3,1),(7,5):}], find x and y such that A^(2)+xI=yA.

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  16. If matrices A and B anticommute then

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  17. If A=[{:(2,5,),(1,3,):}] , find adj A.

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  18. If A=[(3,-4),(-1,2)] and B is a square matrix of order 2 such that AB=...

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  19. If A; B are invertible matrices of the same order; then show that (AB)...

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  20. If A=[(2,-1),(1,3)], then A^(-1)=?

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