Matrix Characteristic Polynomial VI

Owning Palette: Linear Algebra VIs

Requires: Full Development System

Computes the characteristic polynomial of Input Matrix. Wire data to the Input Matrix input to determine the polymorphic instance to use or manually select the instance.

Details  

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Select an instance Real Characteristic PolynomialComplex Characteristic Polynomial

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Real Characteristic Polynomial

	Input Matrix is the matrix for which you want to compute the characteristic polynomial. Input Matrix must be a square matrix.
	Characteristic Polynomial returns the coefficients of the characteristic polynomial of Input Matrix in ascending order.
	error returns any error or warning from the VI. You can wire error to the Error Cluster From Error Code VI to convert the error code or warning into an error cluster.

Complex Characteristic Polynomial

	Input Matrix is the matrix for which you want to compute the characteristic polynomial. Input Matrix must be a square matrix.
	Characteristic Polynomial returns the coefficients of the characteristic polynomial of Input Matrix in ascending order.
	error returns any error or warning from the VI. You can wire error to the Error Cluster From Error Code VI to convert the error code or warning into an error cluster.

Matrix Characteristic Polynomial Details

The characteristic polynomial of Input Matrix A is defined as p() = det(I – A), where det denotes the matrix determinant. If A is a square matrix of order n, the order of its characteristic polynomials is n. Moreover, the n roots of the characteristic polynomial are the eigenvalues of A.