Matrices
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 addition | X = A + B |
Matrix multiplication | X = A B |
Matrix multiplication | X = Transp (A) |
Matrix multiplication | Find solution for A X = B |
Inverse of A | Eigenvalues/vectors |
Determinant of A | X = Inv (A) so that X A = 1 |
Determinant of A | Det (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.