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Skew symmertic matrix

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Skew symmertic matrix

    • Posted by Tanuja Veer 4 years, 10 months ago

    CBSE > Class 12 > Mathematics
    • 2 answers

    Simran Sahu 4 years, 10 months ago

    A' = -A

    0Thank You

    Gaurav Seth 4 years, 10 months ago

    Skew Symmetric Matrices (Square Matrix)

    A square matrix A = [aij] is said to be skew symmetric matrix if A′ = – A, that is aji = – aij for all possible values of i and j.

    Now, if we put i = j, we have aii = – aii. Therefore 2aii = 0 or aii = 0 for all i’s.

    This means that all the diagonal elements of a skew symmetric matrix are zero.

     

    Numerical:

     

    Solution: Notice that aji = – aij for all possible values of i and j. Thus it is a skew symmeticmatrix.

    0Thank You

    ANSWER
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