Linear Algebra | Matrices | Determinants | Equation Systems | Vectors
The size indicates the size of the square matrix without the solution column. Together with this solution column, the matrix has one more column than rows. In a linear system of equations, whole rows with values other than zero can be multiplied and one row can be added to another. The result of this transformation is entered in the row which is set first, the first multiplier should not be zero. For example, to double row 1, you can set 1 * row 1 + 1 * row 1, or 2 * row 1 + 0 * row 2. You can also swap two rows or columns.
The determinant D is that of the matrix without the solution column. For the determinants D1 to D5, the solution column is taken into calculation and instead the first column for D1, the second column for D2 and so on are omitted.
If the system of equations is solvable, then the solutions can be calculated here. In this case, a system with n unknowns also has n solutions.
The contents of the matrix without the solution column can be transferred to the data set and read out in its entirety. At Reading Data Set, data in text form can be transferred into a matrix. The solution column must still be filled in.
Last updated on 06/27/2025. Author: Jürgen Kummer
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