Inverse of a Matrix

 

Inverse of a Matrix (Gauss method)

Increase the Matrix with an Identity matrix simply writing the rows of the Identity matrix following the rows of the original Matrix.

Make the necessary operations on the rows of the increased matrix to obtain the echelon limited form of the matrix.

The process finishes when in the left part is the matrix Identity.

Example:

 

row2 – row1

 

row3 + row2

 

row2 – row3

 

row1 + row2

 

(-1) · row2

 

The Inverse Matrix is:

 

 

 

 

You can download the App BioProfe READER to practice this theory with self-corrected exercises.