Definition of the eigenspace corresponding to an eigenvector $\lambda$ (and proof that this is a vector space); analysis of simple matrices in R^2 and R^3 to visualize the "geometry" of eigenspaces; proof that eigenvectors corresponding to distinct eigenvectors are linearly independent

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##### Eigenvectors with distinct eigenvalues are linearly independent. math.la.t.mat.eigvec.linindep

##### Definition of eigenspace(s) of a matrix math.la.d.mat.eigsp