Check sibling questions

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 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.