proof ch:03-linear-algebra-representations@proof-13

open in the book · parts/02-mathematical-methods/03-linear-algebra-representations.tex:1832

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proof : ch:03-linear-algebra-representations@proof-13prooftheorem 5.40: Rank–nullity5.40definition 5.15: Basis5.15definition 5.39: Kernel, image, nullity, rank5.39lemma 5.38: Exchange and completion5.38corollary 5.62: A functional that annihilates a set of constraints5.62lemma A.610: Block positivityA.610lemma A.600: The real part of an inverseA.600lemma A.564: Dimension and double orthogonalA.564lemma 5.97: Fitting splitting5.97proposition 5.49: Injective, surjective, invertible5.49theorem 5.43: The four fundamental subspaces5.43theorem 5.79: Spectral theorem for a self-adjoint operator5.79

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