Publish On: 2019-03-17

# jollay

Total Post: 559

## Question: What is skew symmetric matrix

Reply On: 2013-10-08

# Mjay Jollay

Total Post: 0

## ANS: What is skew symmetric matrix

A square matrix A = [a

i.e. a

Putting j = i in (1), we get

a

i.e. 2a

or a

This means that all the diagonal elements of a skew-symmetric matrix are zero.

The matrices

are skew-symmetric matrices.

_{ij}] is said to be symmetric or alternate matrix if A’ = - A.i.e. a

_{ji}= - a_{ij}for all values of i and j (1)Putting j = i in (1), we get

a

_{ii}= a_{ii}i.e. 2a

_{ii}= 0or a

_{ii}= 0 for all i.This means that all the diagonal elements of a skew-symmetric matrix are zero.

The matrices

are skew-symmetric matrices.

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