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

Find `x`, so that `[{:(1,x,1):}][{:(1,3,2),(0,5,1),(0,3,2):}][{:(1),(1),(x):}]=O`

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Solve the matrix [{:(x,-5,-1):}][{:(1,0,2),(0,2,1),(2,0,3):}][{:(x),(4),(1):}]=O .

Find the matrix A satisfying the equation [{:(2,1),(3,2):}].A.[{:(-3,2),(5,-3):}]=[{:(1,0),(0,1):}]

Find x,y,z and t, if 2[{:(x,z),(y,t):}]+3[{:(1,-1),(0,2):}]=3[{:(3,5),(4,6):}] .

Find the 2xx2 matrix X, if X+[{:(0,1),(1,0):}]=[{:(2,0),(0,2):}]

If [{:(2x,y),(1,3):}]+[{:(4,2),(0,-1):}]=[{:(8,3),(1,2):}] , find x and y .

If [{:(x_(1),x_(2)),(y_(1),y_(2)):}]-[{:(2,3),(0,1):}]=[{:(3,5),(1,2):}] determine x_(1),x_(2),y_(1),y_(2) .

A=[{:(1,0,-2),(2,3,-1):}],B=[{:(4,-1,3),(0,2,1):}]andC=[{:(2,-3,0),(1,4,5):}] , find A-3B+2C

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. Using elementary operation,find the inverse of [[4,5],[3,4]].

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  17. If A=[[1,-2,1],[0,-1,1],[2,0,-3]]then find A^(-1) and hence solve the ...

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  18. Find the value of x,y, and z if A=[[0,2y,z],[x,y,-z],[x,-y,z]] satisfi...

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  19. Find the matrix A such that [[2,-1],[1,0],[-3,4]]A = [[-1,-8,-10],[...

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  20. Suppose A=[{:(2,2,-4),(-4,2,-4),(2,-1,5):}] and B=[{:(1,-1,0),(2,3,4),...

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