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The document discusses Jordan forms and related concepts: 1) It defines generalised eigenvectors, Jordan chains, and invariant subspaces. Generalised eigenvectors are vectors in the null space of (A - λI)j for some j. Jordan chains are vectors related to an eigenvalue where applying A - λI repeatedly yields another vector or zero. 2) A matrix is in Jordan form if it is block diagonal with Jordan blocks, which are matrices with the eigenvalue on the diagonal and ones above it. 3) The column spaces and null
- Author
- SameeraBharadwajaH
- Language
- EN