A Matrix Problem
Algebra
Level
3
Read the following statements carefully.
\((1\)) 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 \(A, \dfrac{1}{2}(A + A')\) is skew-symmetric.
\((4\)) For any square matrix \(A, \dfrac{1}{2}(A - A')\) is skew-symmetric.
Which of the following statements are correct?
by
Anuj Shikarkhane