### Rank-one perturbation

If $A$ is a matrix in $\mathbb{F}^{n\times n}$, and $u,v\in \mathbb{F}^n$, then the matrix $A+u^\ast v$ is called a **rank-one perturbation** of the matrix $A$. These sometimes have nice properties in relation to the original matrix $A$.

# linear-algebra

# matrices

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