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





Since A = A’

  ∴ A is a symmetric matrix


Symmetric & Skew Symmetric matrices - Part 2



  B’ = −B

So, B is a skew symmetric matrix

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



Go Ad-free
Davneet Singh's photo - Co-founder, Teachoo

Made by

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, Social Science, Physics, Chemistry, Computer Science at Teachoo.