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Find A if [[4],[1],[3]] A =[[-4,8,4],[-1...

Find A if `[[4],[1],[3]] A =[[-4,8,4],[-1,2,1],[-3,6,3]]`

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MBD PUBLICATION-MATRICES-QUESTION BANK
  1. If [[x+y,x-z],[2x-y,0]]=[[2,2],[1,0]] find the values of x,y,z.

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  2. What is the order of the matrix B if[" 3"" 4"" 2 ""] B =[ 2 "" 1"" 0""...

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  3. Find A if [[4],[1],[3]] A =[[-4,8,4],[-1,2,1],[-3,6,3]]

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  4. Find x and y when[[1,3],[2,-8]][[x],[y]]=[[4],[1]]

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

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

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

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

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

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

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  11. 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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  12. 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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  13. 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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  14. 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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  15. If A=[[4,2],[-1,1]] and I be the 2xx2 unit matrix find (A-2I)(A-3I)

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

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  17. Verify that [AB]^T = B^T A^T whereA=[[1,2],[2,3],[3,4]]=[[2,3,0],[1,2,...

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

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  19. If A=[[1,2,3],[3,-2,1],[4,2,1]]"show that"A^3-23A-40I=0

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

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