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# Modules

 You are here: Modules > Matrices Links in the text refer to the lower part of the page

# Matrix operations

The matrix matrix window contains three matrix containers (value arrays): A, B and X. Mathgrapher handles real matrices only. The results (eigenvalues, eigenvectors) may be complex. The screen view show the operations that can be performed on these matrices:
 Matrix addition X = A + B Matrix multiplication X = A B Transpose of a matrix X = Transp (A) Solve AX=B (Least squares) solution of linear system of equations. Find solution for A X = B Eigenvalues and Eigenvectors of A. Eigenvalues/vectors Inverse of A X = Inv (A)  so that X A = 1 Determinant of A Det (A)

Matrices: Determinant

# Matrices - Determinant

 Definition: => wikipedia or mathworld

 The determinant of the matrix is calculated using LU factorization. The results are written in the file Results.out and shown in the Results window.

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