> [!NOTE] Definition > Let $A$ be a [[Real Square Matrices|real square matrix]] of order $n.$ $\lambda\in \mathbb{R}$ and $\underline{v}\in \mathbb{R}^{n}$ is a corresponding eigenvector if $v\neq 0$ and the [[Real Matrix Product|product]] $A\underline{v}=\lambda \underline{v}$