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by eigenvector
4798 days ago
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That's one way of putting it. A rank of six implies that if all of the faces were represented by a matrix (e.g. with 20 rows, one for each face), the dimensionality of the column space would be six. That is, all 20 faces could be represented by linear combinations of six orthogonal faces. OP implies that six "eigenfaces" faces represent an eigenbasis for the space of all 20 faces (that they are eigenfaces doesn't necessary imply that they form an eigenbasis, not every vector space has sufficient geometric multiplicity to have an eigenbasis). |
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