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Fitting Index — Topic Summaries

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Abstract Linear Algebra 38 | Invariant Subspaces

The Bright Side of Mathematics · 3 min read

Invariant subspaces are the key structural tool behind Jordan normal form: a subspace U of a vector space V is called invariant under a linear map L...

Invariant SubspacesJordan Normal FormGeneralized Eigenspaces

Abstract Linear Algebra 39 | Direct Sum of Subspaces

The Bright Side of Mathematics · 2 min read

Direct sums of subspaces are introduced as the key tool for splitting a vector space into two parts that don’t overlap except at the zero vector—and...

Direct Sum of SubspacesGeneralized EigenspacesFitting Index

Abstract Linear Algebra 37 | Fitting Index

The Bright Side of Mathematics · 2 min read

Fitting index is introduced as the first point in the Jordan-chain ladder where the dimensions stop growing—an invariant that pinpoints when...

Fitting IndexGeneralized EigenspacesJordan Chains