\(\text{Eigenvectors}\)

You can use the \(\text{Eigenvectors}\) function to calculate eigenvectors, eigenvalues and Schur decomposition of the matrix.

You can use the \eigenvectors backslash command to insert this function.

The following variants of this function are available:

  • \(\text{tuple } \text{eigenvalues} \left ( \text{<matrix>} \right )\)

The \(\text{Eigenvectors}\) function returns a tuple that will contain:

  • A column matrix holding the eigenvalues of the matrix.

  • The Q unitary matrix matrix from the Schur decomposition.

  • The U upper triangular matrix that represents the Schur decomposition.

  • Zero or more column matrices representing the eigenvectors corresponding to the supplied eigenvalues.

Figure 125 shows the basic use of the \(\text{Eigenvectors}\) function.

../_images/eigenvectors_example.png

Figure 125 Example Use Of The Eigenvectors Function