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Mathematics
Linear and Abstract Algebra
Eigenvectors and matrix inner product
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[QUOTE="fresh_42, post: 6303832, member: 572553"] I think you are confusing various things here. Given a matrix ##A## and an eigenvalue ##\lambda##, such that ##A.\vec{v}=\vec{v}## then ##\vec{v}## spans of course a vector space. For different eigenvalues, you can use the direct product of those eigenspaces. These will have an inner product if the original vector space has. There is nothing to show here. [/QUOTE]
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Mathematics
Linear and Abstract Algebra
Eigenvectors and matrix inner product
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