Definition4.1.1

Given a square \(n\times n\) matrix \(A\text{,}\) we say that a nonzero vector \(\vvec\) is an eigenvector of \(A\) if there is a scalar \(\lambda\) such that

\begin{equation*} A\vvec = \lambda \vvec \text{.} \end{equation*}

The scalar \(\lambda\) is called the eigenvalue associated to the eigenvector \(\vvec\text{.}\)

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