We use elementary operations to find inverse of a matrix

 

The elementary matrix operations are

  • Interchange two rows, or columns
    Example - R 1 ↔ R 3 , C 2 ↔ C 1

  • Multiply a row or column by a non-zero number
    Example - R 1 →2R 1 , C 3 →(-8)/5 C 3

  • Add a row or column to another, multiplied by a non-zero
    Example - R 1 → R 1 − 2R 2 ,  C 3 → C 3 + 2/3 C 1

Let’s look at each one of them in detail

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Interchange rows or column

Elementary operations on a matrix - Part 2

Multiply a row or column by a non-zero number

Elementary operations on a matrix - Part 3

 

Add a row or column to another, multiplied by a non-zero number

Elementary operations on a matrix - Part 4

 

 

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