EigenValues and Vectors (Not in Base Package)

Finds the eigenvalues and right eigenvectors of a square, real Input Matrix. Details

Input Matrix is an n-by-n square, real matrix, where n is the number of rows and columns of Input Matrix.
matrix type is the type of Input Matrix. A symmetric matrix needs less computation than an unsymmetrical matrix. A symmetric matrix always has real eigenvectors and eigenvalues. matrix type has two possible options.

0General (default)
1Symmetric
output option determines what needs to be computed. The output option has two possible options.

0Computes eigenvalues
1Computes both eigenvalues and eigenvectors (default)
Eigenvalues is a complex vector of n elements, which contains all of the computed Eigenvalues of the Input Matrix. The Input Matrix could have complex Eigenvalues if it is not symmetric.
Eigenvectors is a n-by-n complex matrix containing all of the computed Eigenvectors of the Input Matrix. The ith column of Eigenvectors is the eigenvector corresponding to the ith component of the vector, Eigenvalues. Each eigenvector is normalized so that its largest component is always unified. The Input Matrix could have complex Eigenvectors if it is not symmetric.

If output option is set to Eigenvalues, Eigenvectors sets to empty.

error returns any error or warning condition from the VI.

EigenValues and Vectors Details

The eigenvalue problem is to determine the nontrivial solutions to the equation:

AX = X

where A is a n-by-n Input Matrix, X is a vector with n elements, and is a scalar. The n values of that satisfy the equation are the Eigenvalues of A and the corresponding values of X are the right Eigenvectors of A. A symmetric, real matrix always has real eigenvalues and eigenvectors.