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If A = [[-1,2,3],[5,7,9],[-2,1,1]] and B...

If `A = [[-1,2,3],[5,7,9],[-2,1,1]] and B = [[-4,1,-5],[1,2,0],[1,3,1]]` , then verify that `(A-B)' = A' - B'`

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If A = [[-1,2,3],[5,7,9],[-2,1,1]] andB = [[-4,1,-5],[1,2,0],[1,3,1]] , then verify that (A+B)' = A' + B'

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PRADEEP PUBLICATION-MATRICES-EXERCISE
  1. Find the transpose of each of the following matrices: {:[(-1,5,6),(s...

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

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  5. If A' = [(3,4),(-1,2),(0,1)] and B = [(-1,2,1),(1,2,3)], then porve th...

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

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

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

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  9. If A = [(cos alpha , sin alpha),(-sinalpha, cosalpha)], verify that AA...

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  10. If A = {:[(sinalpha, cosalpha),(-cosalpha,sinalpha)], then prove that ...

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

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

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  13. For the matrix A=[(1,5),(6,7)], verify that (A+A') is a symmetric matr...

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  14. For the matrix A=[(1,5),(6,7)], verify that (A-A') is a skew symmetr...

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

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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 sum of a symmetric and a skew symme...

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  18. Express the following matrices as the sum of a symmetric and skew-symm...

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  19. Express the following matrices as sum of a symmetric and a skew symme...

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

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