Eigenvalue

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In linear algebra, an eigenvector of a linear map $L$ refers to a non-zero vector such that applying $L$ to this vector does not change the direction of the vector. In other words, $L \bold{v} = \lambda \bold{v}$ for some scalar constant $\lambda$. Here, $\lambda$ is known as the eigenvalue. The eigenspace of an eigenvalue refers to the set of all eigenvectors that correspond with that eigenvalue, and is a vector space.

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