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

Find the value of x,y, and z if `A=[[0,2y,z],[x,y,-z],[x,-y,z]]` satisfies `A^1=A^(-1)`.

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SHARAM PUBLICATION-MATRICES-EXAMPLE
  1. Using elementary operation,find the inverse of [[4,5],[3,4]].

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

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

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

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

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  6. Findthe inverse ofthe matrix[[1,1,2],[0,1,2],[1,2,1]].

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  7. Matrices X and Y are such that 3X + 4Y = I and X-2Y = 2I where I deno...

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  8. Find the inverse of the matrix[[1,2,3],[2,1,4],[1,0,2]].

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

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  10. If A=[[2,1],[1,2]],B=[[3,2],[2,1]] find (AB)^(-1).

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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. Verify that (AB)^(T) =B^(T)A^(T) where A=|[1,-2,2],[3,1,-1]| and B=|[...

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  13. If A=[[1,1],[-1,-1]], B=[[-1,3],[-3,1]] then show that (A+B)^2 !=A^2 +...

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  14. There are two families A and B. There are 4 men, 6 women and 2 childre...

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  15. Find the inverse of the matrix [{:(4,-2),(3,1):}]

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  16. solve 3x - 2y + z = 1 2x + y- 5z = 2 x- y - 2z = 3.

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  17. Examining consistency and solvability, solve the following equation by...

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  18. solve x + 2y + 3z = 8 2x + y + z = 8 x + y + 2z = 6.

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  19. Solve the following system of equations by the matrix inversion method...

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  20. By elementary operations, find A^(-1) for the following: A=[[1,1,0],[1...

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