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Show that the diagonal elements of …

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Show that the diagonal elements of a skew symmetric matrix are all zenos .

    • Posted by Rochisnu Sonowal 5 years, 10 months ago

    CBSE > Class 12 > Mathematics
    • 1 answers

    Gaurav Seth 5 years, 10 months ago

    Proof:

    Let A=[aij]n×n be a skew symmetric matrix.

    ⇒aij=−aji for all i & j.

    ⇒aii=−aii (Putj=i)

    ⇒2aii=0⇒aii=0.

    Thus in a skew symmetric matrix all elements along the principal diagonal are zero.

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