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

81.jpg

 

Therefore,

  B’ = −B

So, B is a skew symmetric matrix

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

 

 

  1. Chapter 3 Class 12 Matrices
  2. Concept wise

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.