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If A = [[4,5],[2,1]], Show that A^-1 = f...

If `A = [[4,5],[2,1]]`, Show that `A^-1 = frac{1}{6}(A-5I)`.

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CHETANA PUBLICATION-Matrices-EXERCISE
  1. If A = [[4,5],[2,1]], Show that A^-1 = frac{1}{6}(A-5I).

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  2. For A = [[2,3,4],[5,1,6]], perform the following operations in success...

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  3. Transform [[2,1,5],[4,3,1],[6,3,4]] into upper triangular matrix by u...

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  4. Transform [[1,2,-4],[0,-4,8],[72,5,7]] into a lower triangular matrix ...

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  5. Transform [[4,-1],[5,-2]] into a corresponding Identity matrix using ...

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  6. If A = [[1,0,1],[0,2,3],[1,2,1]] and B = [[1,2,3],[1,1,5],[2,4,7]], th...

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  7. Find the minors and co-factors of all the elements in [[4,3,1],[1,3,2]...

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  8. Find the Adjoint of [[p,q],[r,s]]

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  9. Find the Adjoint of [[1,1,1],[2,1,-3],[-1,2,3]]

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  10. Compute the adjoint of the matrix, A: [[1,4,5],[3,2,6],[0,1,0]] and v...

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  11. If A =[[a,b],[c,d]] and ad-bc ne 0, Find A^-1 by using Adjoint of a ma...

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  12. Find the inverse of the matrix [[2,1,3],[4,-1,0],[-7,2,1]] by using Ad...

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  13. Find which of the following matrix is invertible? [[2,1],[4,2]]

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  14. Find which of the following matrix is invertible? [[1,3,2],[3,1,2],[1,...

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  15. Find the Inverse of the following matrix by using Row Transformations....

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  16. Find the Inverse of the following matrix by using Row Transformations....

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  17. Find the Inverse of the following matrix by using Row Transformations:...

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  18. Find the Inverse of the following matrix by using Row Transformations:...

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  19. Find the Inverse of the following matrix by using Row Transformations:...

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  20. Find the inverse of the following matrices by using Column Transformat...

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  21. Find the inverse of the following matrices by using Column Transformat...

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