Hermitian and skew hermitian matrix

Which of the following is incorrect? 1. Determinant of Nilpotent matrix is 0 2. Determinant of an Orthogonal matrix = 1 or -1 3. Determinant of a Skew - symmetric matrix is 0. 4. Determinant of Hermitian matrix is purely real.

The determinant of a skew symmetric matrix of odd order is

. The determinant of a skew symmetric matrix of odd order is

"The determinant of a skew symmetric matrix of odd order is"

The determinant of a skew symmetric matrix of odd order is

If A=[[1,2-3i,3+4i],[2+3i,0,4-5i],[3-4i,4+5i,2]] ,then A is (A) symmetric (B) Skew - symmetric (C) hermitian (D) Skew - hermitian

Show that every square matrix A can be uniquely expressed as P+i Q ,w h e r ePa n dQ are Hermitian matrices.

Representation of matrix as the sum of symmetric and skew symmetric matrix

......... Matrix is both symmetric and skew-symmetric matrix.

Express the matrix A=[323453245] as the sum of a symmetric and a skew-symmetric matrix.