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:

Bioprofe | Calculate the inverse of a matrix | 01

row2 – row1

Bioprofe | Calculate the inverse of a matrix | 02

row3 + row2

Bioprofe | Calculate the inverse of a matrix | 03

row2 – row3

Bioprofe | Calculate the inverse of a matrix | 04

row1 + row2

Bioprofe | Calculate the inverse of a matrix | 05

(-1) · row2

Bioprofe |Calculate the inverse of a matrix | 02

The Inverse Matrix is:

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