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If A is a skew symmetric …

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If A is a skew symmetric matrix of 4 order then show that its determinant is 0

    • Posted by Satyawan Singh 5 years, 7 months ago

    CBSE > Class 12 > Mathematics
    • 1 answers

    Dharmendra Kumar 5 years, 7 months ago

    Since matrix A is skew symmetric 

    Therefore,  A' = - A    

            So,      |A'| = |-A|    

                       | A | = - |A|      (as we know that |A'|=|A| )

                    |A|+|A|=0

                         2|A|=0

                            |A|=0 

    In fact determinant of every skew symmetric matrix is always zero.

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