Language Reference |
DET Function |
The DET function computes the determinant of a square matrix. The determinant, the product of the eigenvalues, is a scalar numeric value. If the determinant of a matrix is zero, then the matrix is singular. A singular matrix does not have an inverse.
The DET function performs an LU decomposition and collects the product of the diagonals (Forsythe, Malcom, and Moler; 1967). For a matrix with rows, the DET function allocates a temporary array in order to compute the determinant.
The following statements compute the determinant of a matrix:
a = {1 1 1, 1 2 4, 1 3 9}; d = det(a); print d;
The DET function uses a criterion to determine whether the input matrix is singular. See the INV function for details.
Copyright © SAS Institute, Inc. All Rights Reserved.