Advanced Matrix Computations
Eigenvectors are non-zero vectors that change only by a scalar factor when a linear transformation is applied to them, typically represented by the equation $$A \mathbf{v} = \lambda \mathbf{v}$$, where A is a matrix, $$\lambda$$ is the corresponding eigenvalue, and $$\mathbf{v}$$ is the eigenvector. These vectors play a crucial role in various matrix decompositions and transformations, providing insight into the structure of matrices and their properties.
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