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

Which one of the following is wrong? 1.The elements on the main diagonal of a symmetric matrix are all zero 2. The elements on the main diagonal of a skew-symmetric matrix are all zero 3. For any square matrix A,(1)/(2)(A+A') is symmetric 4. For any square matrix A,(1)/(2)(A-A') is skew-symmetric

Which one of the following is wrong? (A) The elements on the main diagonal of a symmetric matrix are all zero (B) The elements on the main diagonal of a skew - symmetric matrix are all zero (C) For any square matrix A,AA' is symmetric (D) For any square matrix A,(A+A')^(2)=A^(2)+(A')+2AA'

The diagonal elements of a skew-symmetric matrix are:

Prove that diagonal elements of a skew symmetric matrix are all zeroes.

The inverse of a skew symmetric matrix is

Which of the following is a skew symmetric matrix?

Statement 1: The determinant of a matrix A=[a_(ij)]_(5xx5) where a_(ij)+a_(ji)=0 for all i and j is zero.Statement 2: The determinant of a skew-symmetric matrix of odd order is zero

If A is skew-symmetric matrix, then trace of A is