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Find x and y when [{:(1,3),(2,-1):}][{:...

Find x and y when `[{:(1,3),(2,-1):}][{:(x),(y):}]=[{:(4),(1):}]`.

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The correct Answer is:
`x=y=1`
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ARIHANT PUBLICATION-MATRICES -ODISHA BUREAU .S TEXTBOOK SOLUTIONS (Exercise (a) )
  1. Find A if [[4],[1],[3]] A =[[-4,8,4],[-1,2,1],[-3,6,3]]

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  2. Find B if B^(2)=[{:(17,8),(8,17):}]

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  3. Find x and y when [{:(1,3),(2,-1):}][{:(x),(y):}]=[{:(4),(1):}].

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  4. Find AB and BA given that: A=[[0,1],[1,0]],B=[[2,3],[4,1]]

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  5. Find AB and BA given that: A=[[7,5],[6,4]],B=[[1,0],[0,1]]

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  6. Find AB and BA given that: A=[[1,-1],[2,3]],B=[[4,2],[-1,-2]]

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  7. Find AB and BA given that: A=[[1,2],[2,5]],B=[[5,-2],[-2,1]]

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  8. Evaluate [[2,1]+2[0,-2]][[2,1,3],[1,-2,0]]

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  9. Evaluate [[[1,2],[3,0]]+[[1,-2],[2,3]]][[2],[1]]

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  10. If A [[1,2,0],[1,1,0],[-1,4,0]],B=[[1,2,3],[1,1,-1],[1,1,1]]"and"C=[[1...

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  11. Find A and B where 2A+B=[[2,2,5],[5,4,3],[1,1,4]]"and" A-2B=[[1,6,5],...

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  12. If A=[{:(4,2),(-1,1):}] and I is the 2xx2 unit matrix, find (A-2I)(A-3...

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  13. Verify that [AB]^T = B^T A^T whereA=[[1,2,3],[3,-2,1]],B=[[1,2],[2,0],...

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  14. Verify that A=[[a,b],[c,d]] satisfies the equation A^2-(a+d)A+(ad-bc...

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  15. If A=[{:(1,2,3),(3,-2,1),(4,2,1):}] , show that A^(3)-23A-40I=0

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  16. Simplify: "[x y z]"xx[[a,h,g],[h,b,f],[g,f,c]]xx[[x],[y],[z]]

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  17. If A and B are matrices of the same order and AB=BA, Then prove that ...

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  18. If A and B are matrices of the same order and AB=BA, Then prove that ...

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  19. If A and B are matrices of the same order and AB=BA, Then prove that ...

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  20. If alphaandbeta are scalars and A is a square matrix then prove that ...

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