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IfA' = [[3,4],[-1,2],[0,1]] and B = [[-1...

If`A' = [[3,4],[-1,2],[0,1]] and B = [[-1,2,3],[1,2,3]]` , then verify that `(A - B)' = A' - B'`

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PSEB-MATRICES-Exercise
  1. If A = [[-1,2,3],[5,7,9],[-2,1,1]] and B = [[-4,1,-5],[1,2,0],[1,3,1]]...

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  2. If A' = [[3,4],[-1,2],[0,1]] and B = [[-1,2,3],[1,2,3]] , then verify ...

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  3. IfA' = [[3,4],[-1,2],[0,1]] and B = [[-1,2,3],[1,2,3]] , then verify t...

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  4. If A = [[-2,3],[1,2]] and B = [[-1,0],[1,2]] , then find (A + 2B)'

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  5. For the matrices A and B, verify that (AB)' = B'A', where : A = [[1],[...

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  6. For the matrices A and B, verify that (AB)' = B'A', where : A = [[0],[...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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