Symmetric and Skew-symmetric Matrices
Symmetric and Skew-symmetric Matrices: Overview
This Topic covers sub-topics such as Symmetric and Skew-symmetric Matrices, Skew-Symmetric Matrix, Symmetric Matrix, Properties of Symmetric Matrices and, Properties of Skew-Symmetric Matrices
Important Questions on Symmetric and Skew-symmetric Matrices
, express as , where is symmetric and is skew symmetric.

The matrix is the sum of symmetric matrix B and skew symmetric matrix C. Find C.

A square matrix is a skew-symmetric matrix if

If is skew-symmetric matrix then the value of is

If is a skew-symmetric matrix of order then

If is a skew symmetric matrix of order then

is symmetric and is skew-symmetric, then find


If and are symmetric matrices of the same order, then show that is symmetric if and only if and commute, that is .

If is a symmetric matrix then find the value of .

If the matrix is both symmetric and skew symmetric, then

If then prove that and are symmetric matrix.

If then prove that is a skew-symmetric matrix.

If then prove that is symmetric matrix.

Express the matrix as the sum of symmetric and skew-symmetric matrix where

If the matrix is a skew symmetric matrix, then find the values of

If and are two skew symmetric matrices of same order, then is symmetric matrix if _____

Show that a matrix which is both symmetric and skew symmetric is a zero matrix.

The symmetric part of the matrix is

Which function of money eliminates the need for a double coincidence of wants?
