Determinant of a matrix using LU decomposition

This macro calculates the determinant of a matrix by finding its LU decomposition. In other words, by transforming a matrix to a product of a lower (L) and an upper (U) triangular matrix, the determinant can be expressed as the product of the diagonal elements of both matrices.

This macro calculates the determinant of a matrix by finding its LU decomposition. In other words, by transforming a matrix to a product of a lower (L) and an upper (U) triangular matrix, the determinant can be expressed as the product of the diagonal elements of both matrices.

Download the Macro

Be sure that Minitab knows where to find your downloaded macro. Choose File > Options > General. Under Macro location browse to the location where you save macro files.

Important

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Required Inputs

  • A square matrix (the numbers of rows and columns must be equal)

Optional Inputs

STORE M M
Use to specify two empty matrices to store the Lower and Upper triangular matrices.

Running the Macro

Suppose you want to calculate the determinant of a matrix stored in M1. You want to store the upper and lower triangular matrices in M2 and M3, respectively. To run the macro, choose View > Command Line/History and type:

%DETERMAT M1;
STORE M2 M3.

Click Run.