Symmetric & Skew Symmetric matrices

Last updated at April 16, 2024 by

In a symmetric matrix,

  A’ = A

 

And in a skew symmetric matrix

  A’ = −A

 

Note: Here matrix should be a square matrix

Let’s take some examples

 

For

80.jpg

 

Since A = A’

  ∴ A is a symmetric matrix

For

Symmetric & Skew Symmetric matrices - Part 2

 

Therefore,

  B’ = −B

So, B is a skew symmetric matrix

Note: In a skew symmetric matrix, diagonal elements are always 0.

 

 

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo