Computes the determinant of a matrix.
Specifying the matrix type allows this node to execute more quickly by avoiding unnecessary computations, which could introduce numerical inaccuracy.
Name | Description |
---|---|
General |
The input matrix is a matrix that you cannot describe with one of the other categories. |
Positive definite |
The input matrix is positive-definite. |
Lower triangular |
The input matrix is lower triangular. |
Upper triangular |
The input matrix is upper triangular. |
Default: General
A square matrix.
This input accepts a 2D array of double-precision, floating point numbers or 2D array of complex double-precision, floating point numbers.
Error conditions that occur before this node runs.
The node responds to this input according to standard error behavior.
Standard Error Behavior
Many nodes provide an error in input and an error out output so that the node can respond to and communicate errors that occur while code is running. The value of error in specifies whether an error occurred before the node runs. Most nodes respond to values of error in in a standard, predictable way.
Default: No error
The determinant of the input matrix.
The determinant of a singular matrix is zero. This is a valid result and is not an error.
Error information.
The node produces this output according to standard error behavior.
Standard Error Behavior
Many nodes provide an error in input and an error out output so that the node can respond to and communicate errors that occur while code is running. The value of error in specifies whether an error occurred before the node runs. Most nodes respond to values of error in in a standard, predictable way.
Let A be a square matrix that represents the input matrix, and let L and U represent the lower and upper triangular matrices, respectively, of A such that
A = L U
where the main diagonal elements of the lower triangular matrix L are arbitrarily set to one. This node finds the output determinant of A by the product of the main diagonal elements of the upper triangular matrix U.
where |A| is the output determinant of A and n is the dimension of A.
Where This Node Can Run:
Desktop OS: Windows
FPGA: Not supported
Web Server: Not supported in VIs that run in a web application