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If A=[(6,8,5),(4,2,3),(9,7,1)] is the su...

If `A=[(6,8,5),(4,2,3),(9,7,1)]` is the sum of a symmetric matrix B and skew-symmetric matrix C, then B is

A

`[(6,6,7),(6,2,5),(7,5,1)]`

B

`[(0,2,-2),(-2,5,-2),(2,2,0)]`

C

`[(6,6,7),(-6,2,-5),(-7,5,1)]`

D

`[(0,6,-2),(2,0,-2),(-2,-2,0)]`

Text Solution

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A
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Knowledge Check

  • If A=[(6,8,5),(4,2,3),(9,7,1)] is the sum of a symmetric matrix C, then B is

    A
    `[(6,6,7),(6,2,5),(7,5,1)]`
    B
    `[(0,2,-2),(-2,5,-2),(2,2,0)]`
    C
    `[(6,6,7),(-6,2,-5),(-7,5,1)]`
    D
    `[(0,6,-2),(2,0,-2),(-2,-2,0)]`

  • If A = [[6,8,5],[4,2,3],[9,7,1]] is the sum of a symmetric matrix C, then B is :

    A
    `[[6,6,7],[6,2,5],[7,5,1]]`
    B
    `[[0,2,2],[2,5,2],[2,2,0]]`
    C
    `[[6,6,7],[-6,2,-5],[-7,5,1]]`
    D
    `[[0,2,-2],[-2,5,-2],[-2,-2,0]]`

  • If A = [[6,8,5],[4,2,3],[9,7,1]] is the sum of a symmetric matrix C, then B is :

    A
    `[[6,6,7],[6,2,5],[7,5,1]]`
    B
    `[[0,2,2],[2,5,2],[2,2,0]]`
    C
    `[[6,6,7],[-6,2,-5],[-7,5,1]]`
    D
    `[[0,2,-2],[-2,5,-2],[-2,-2,0]]`

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    Express the matrix A=[{:(-1,5,1),(2,3,4),(7,0,9):}] as the sum of a symmetric and a skew-symmetric matrix.

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