Matrix operations

The 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 additionX = A + B
Matrix multiplicationX = A B
Matrix multiplicationX = Transp (A)
Matrix multiplicationFind solution for A X = B
Inverse of AEigenvalues/vectors
Determinant of AX = Inv (A) so that X A = 1
Determinant of ADet (A)

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.