where c = 0 (eigenvectors are the nonzero vectors in the eigenspaces). We don't have an eigenbasis in this case, since the only eigenspace is 1-dimensional.
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dimension-of-eigenspace-calculator
So, the idea is that k-dimensional data give you k principal components, but PCA tries to put maximum possible information in the first ones, so that, if you want to .... the The geometric multiplicity of an eigenvalue is the dimension of the linear space of its associated eigenvectors (i.e., its eigenspace). equationorThe As a ... 939c2ea5af