Question

(i) Show that the matrix is a symmetric matrix (ii) Show that the matrix is a skew symmetric matrix

Answer 1

(i)

The given matrix is,

A=[ 1 −1 5 −1 2 1 5 1 3 ]

Calculate A ′ .

A ′ =[ 1 −1 5 −1 2 1 5 1 3 ] =A

Therefore, A is a symmetric matrix.

(ii)

The given matrix is,

A=[ 0 1 −1 −1 0 1 1 −1 0 ]

Calculate A ′ .

A ′ =[ 0 −1 1 1 0 −1 −1 1 0 ] =−[ 0 1 −1 −1 0 1 1 −1 0 ] =−A

Therefore, A is a skew symmetric matrix.