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If A =[[1,-2,2],[3,1,-1]] B[[2,4],[1,2],...

If `A =[[1,-2,2],[3,1,-1]]`
`B[[2,4],[1,2],[3,-1]] "verify"`
` "that" (AB)^T=B^TA^T.`

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SHARAM PUBLICATION-MATRICES-EXAMPLE
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  2. Find the inverse of the matrix [[0,0,2],[0,2,0],[2,0,0]].

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  3. If A =[[1,-2,2],[3,1,-1]] B[[2,4],[1,2],[3,-1]] "verify" "that" (AB)^...

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  4. If A=[{:(3,-4),(1,-1):}] then show that A^(k)=[{:(1+2k,-4k),(k,1-2k):}...

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  5. [[1,-2],[3,2]][[x,2],[1,y]]=[[-3,4],[-1,4]]Find x and y.

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  6. If A=[{:(3,1),(-1,2):}] then prove that A^(2)-5A+7I=O

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  7. Find the inverse of the matrix [{:(2,5),(1,3):}]

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  8. Find x, so that [{:(1,x,1):}][{:(1,3,2),(0,5,1),(0,3,2):}][{:(1),(1),(...

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  9. Can the inverse of the following matrix be found? [[0,0,2],[3,6,0],[2,...

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  10. Construct the matrix [a(ij)](2xx3) where a(ij)=|i-j|.

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  11. If A=[[1,1],[2,2]] and B=[[2,1],[2,1]]find AB andBA.

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  12. A and Bare square matrices of order n.Their product is commutative:Pro...

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  13. Find x,y if[[3,2],[7,x]][[5,-2],[-7,y]]=[[1,0],[0,1]].

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  14. If [[4x,x-2u],[2u+v,3v-2w]]=[[8,6],[3,5]] find x,u,v,w.

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  15. Construct a matrix [a(ij)] of order 2xx2where a(ij)=i+2j.

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  16. Find the adjoint of the matrix [[1,1,2],[0,1,2],[1,2,1]].

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  17. Find the matrix which when added to [[2,-3],[-4,7]] gives [[4,-1],[3,2...

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  18. IF [[x1,x2],[y1,y2]]-[[2,3],[0,1]]=[[3,5],[1,2]] then determine x1,x2,...

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

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  20. Using elementary transformation find the inverse of the matrix [[1,3],...

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