Calculator for Determinants

The determinant must have the same number of rows and columns, so the matrix must be square. If there are more columns than rows, the number of unknowns would be greater than the number of equations and a clear solution would therefore not be possible anyway. If there are more rows than columns, i.e. more equations than unknowns, contradictions can arise.
Mirroring swaps the contents of the columns with those of the rows. Rows can be multiplied by a value or divided by a value. This multiplication and division affects every single value in this row. The contents of the determinant can be transferred to a matrix and to a equation system. The contents 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 calculation of a determinant is simpler than that of a system of equations, but contains less information. If you only need the statement about the solvability and not the solution itself, then the determinant is sufficient. Determinants can also appear in further calculations. The larger the number of elements in the matrix, the more complicated the calculation. The determinant of a matrix of size 5 calculates with five determinants of size 4, each of these with four determinants of size 3, and so on. A determinant of size 2 is calculated as a₁₁*a₂₂-a₁₂*a₂₁. The calculation is therefore recursive.