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If A = [[sin alpha,cos alpha],[-cos alph...

If `A = [[sin alpha,cos alpha],[-cos alpha,sin alpha]]`, then verify that `A'A = I`

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PSEB-MATRICES-Exercise
  1. For the matrices A and B, verify that (AB)' = B'A', where : A = [[0],[...

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  2. If A = [[cos alpha,sin alpha],[-sin alpha,cos alpha]] , then verify th...

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  3. If A = [[sin alpha,cos alpha],[-cos alpha,sin alpha]], then verify tha...

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  4. Show that the matrix A = [[1,-1,5],[-1,2,1],[5,1,3]] is a symmetric m...

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  5. Show that the matrix A = [[0,1,-1],[-1,0,1],[1,-1,0]] is a skew symmet...

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  6. For the matrix A= ((1,5),(6,7)) , verify that : A + A' is a Symmetric ...

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  7. For the matrix A= ((1,5),(6,7)) , verify that : A - A' is a Skew-Symme...

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  8. Find 1/2 (A + A') and (A-A') when A = [[0,a,b],[-a,0,c],[-b,-c,0]]

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  9. Express the following matrices as the sum of a symmetric and a skew sy...

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  10. Express the following matrices as the sum of a symmetric and a skew sy...

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  11. Express the following matrices as the sum of a symmetric and a skew sy...

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  12. Express the following matrices as the sum of a symmetric and a skew sy...

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  13. If A and B are symmetric matrices of same order then AB - BA is a :

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  14. If A = [[cosalpha, -sinalpha],[sinalpha,cosalpha]] and A + A' = I, the...

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  15. Using elementary transformations find the inverse of matrix A=[[1,-1],...

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  16. Using elementary transformations, find the inverse of each of the matr...

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  17. Using elementary transformations, find the inverse of each of the matr...

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  18. Using elementary transformations, find the inverse of each of the matr...

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  19. Using elementary transformations, find the inverse of each of the matr...

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  20. Using elementary transformations, find the inverse of each of the matr...

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