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Find A and B where 2A+B=[[2,2,5],[5,4,3...

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

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The correct Answer is:
`A=[{:(1,2,3),(3,2,1),(0,0,2):}],B=[{:(0,-2,-1),(-1,0,1),(1,1,0):}]`
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ARIHANT PUBLICATION-MATRICES -ODISHA BUREAU .S TEXTBOOK SOLUTIONS (Exercise (a) )
  1. Evaluate [[[1,2],[3,0]]+[[1,-2],[2,3]]][[2],[1]]

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

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

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

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

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

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

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

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

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

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  13. If alpha "and" beta, are scalars such that A = alpha B+beta I, where A...

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  14. If A=[[-1,3,5],[1,-3,-5],[-1,3,5]]Show that A^2=A.

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  15. If A=[[0,2,3],[2,1,4]] "and" B=[[7,6,3],[1,4,5]] "find " 2A+3B,2A-3B.

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  16. A=[{:(1,0,-2),(2,3,-1):}],B=[{:(4,-1,3),(0,2,1):}]andC=[{:(2,-3,0),(1,...

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  17. A=[{:(1,0,-2),(2,3,-1):}],B=[{:(4,-1,3),(0,2,1):}]andC=[{:(2,-3,0),(1,...

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  18. A=[{:(1,0,-2),(2,3,-1):}],B=[{:(4,-1,3),(0,2,1):}]andC=[{:(2,-3,0),(1,...

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  19. If A=[{:(2,1),(-1,3):}],B=[{:(2,3),(1,1):}]andC=[{:(1,0,2),(-2,3,0):}]...

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  20. [{:(1,-2),(3,2):}][{:(x,2),(1,y):}]=[{:(-3,4),(-1,4):}], find x and y...

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