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

Let A [a_ij] be a skew symmetric matrix.
so,
a_ij =-a_ji for all i,j
⇒a_ii -a_ii for all values of i
⇒2a_ii =0
⇒a_ii =0 for all values of i
⇒a₁₁ = a₂₂ = a₃₃ =..... a_nn =0