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If `A` is a square matrix of order `n` , prove that `|A\ a d j\ A|=|A|^n` .

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RD SHARMA ENGLISH-ADJOINTS AND INVERSE OF MATRIX-All Questions
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  2. If A=[1 2 2 2 1 2 2 2 1] , find A^(-1) and prove that A^2-4A-5I=O .

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  3. If A is a square matrix of order n , prove that |A\ a d j\ A|=|A|^n...

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  4. If A^(-1)=[3-1 1-15 6-5 5-2 2]and B=[1 2-2-1 3 0 0-2 1], find (A B)^(-...

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  5. If A=[[1, -230] ,[-14, -221]] , find (A^ T) .

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  6. Find the adjoint of the matrix A=[(-1,-2,-2), (2 ,1...

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  7. Find A^(-1) if A=|(0,1,1),(1,0,1),(1,1,0)| and show that A^(-1)=(A^(2)...

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  8. Use elementary column operation C2 -> C2 -2C1 in the matrix equati...

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  10. Using elementary transformations, find the inverse of the matrix[1 3 ...

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  11. Using elementary transformations, find the inverse of the matrix[1 3 ...

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  12. Using elementary row transformation find the inverse of the matrix A=[...

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  13. Find the inverse of the matrix A = {:((1,2,-2),(-1,3,0),(0,-2,1)):} by...

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  14. Find the inverse using elementary row transformations: [7 1 4-3] (i...

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  15. Find the inverse using elementary row transformations: [1 6-3 5] (i...

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  18. Find the inverse using elementary row transformations: [2 0-1 5 1 0...

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  19. Find the inverse using elementary row transformations: [2 3 1 2 4 1...

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  20. Find the inverse using elementary row transformations: [3-3 4 2-3 4...

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