Question
Show that all the diagonal elements of a skew symmetric matrix are zero.
Solution
Let A [aij] be a skew symmetric matrix.
so,
aij =-aji for all i,j
⇒aii -aii for all values of i
⇒2aii =0
⇒aii =0 for all values of i
⇒a11 = a22 = a33 =..... ann =0
