eigenvectors
If eigenvectors have the same eigenvalues, then any linear combination of those eigenvectors is also an eigenvector. For example, if \(x\) and \(y\) are eigenvectors and \(z=ax+by\), then \(A(z) = \lambda(ax+by)\).
If eigenvectors have the same eigenvalues, then any linear combination of those eigenvectors is also an eigenvector. For example, if \(x\) and \(y\) are eigenvectors and \(z=ax+by\), then \(A(z) = \lambda(ax+by)\).
Created: 2025-11-02 Sun 18:55