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If A and B are matrices of the same order and AB=BA, Then prove that `A^2-2AB+B^2=(A-B)^2`

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MBD PUBLICATION-MATRICES-QUESTION BANK
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  4. If alphaandbeta are scalars and A is a square matrix then prove that ...

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

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

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

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

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  10. If A=[[1,0,-2],[2,3,-1]], B=[[4,-1,3],[0,2,1]]"and" C=[[2,-3,0],[1,4,5...

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

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  12. [[1,-2],[3,2]][[x,2],[1,y]]=[[-3,4],[-1,4]]Find x and y.

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  14. If A,B,C are matrices of order 2xx2 each and 2A+B+C =[[1,2],[3,0]] A+B...

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  16. State which of the following matrices is symmetric,slew symmetric, bot...

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  17. State which of the following matrices is symmetric,slew symmetric, bot...

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