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# A matrix with real entries has eigenvalues occurring in conjugate pairs.

Put content here**Theorem:** A real matrix has eigenvalues that occur in complex conjugate pairs. If $\lambda$ is an eigenvalue with eigenvector $v$, then $\overline{\lambda}$ is also an eigenvalue with eigenvector $\overline{v}$. This follows because the characteristic polynomial has real coefficients.

# Parents

* Particular types of matrices