Q. 54.0( 10 Votes )

Show that all the

Answer :

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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