Complex Eigenvalues - Complex Eigenvectors
- complex eigenvalues - are eigenvalues with a complex term
- complex eigenvectors - are eigenvectors with a complex term
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Let 𝐴 be a matrix with REAL entries. If
- 𝜆 is a complex eigenvalue with complex eigenvector 𝑣, then
- 𝜆̅ is a complex eigenvalue with complex eigenvector 𝑣̅
In other words, both eigenvalues and eigenvectors come in conjugate pairs.