Q5 of 39 Page 1

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

To prove: all the diagonal elements of a skew-symmetric matrix are zero.


Let: be a skew symmetric matrix.


⇒ aij = - aij , for all i and j


The diagonal elements of a matrix is given by, i = j, therefore when i = j


⇒ aii = - aii


∴ aii = 0


Hence, Proved.


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