proof ch:03-linear-algebra-representations@proof-11

open in the book · parts/02-mathematical-methods/03-linear-algebra-representations.tex:1753

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proof : ch:03-linear-algebra-representations@proof-11prooflemma 5.38: Exchange and completion5.38definition 5.15: Basis5.15definition 5.12: Subspace generated by a set of vectors5.12definition 5.14: Linear independence5.14proposition 5.61: Annihilator of a subspace5.61proposition 5.102: Dimensions add5.102proposition 5.74: prop:lin-geometric-le-algebraic5.74proposition 5.105: Grassmann's formula5.105theorem 5.40: Rank–nullity5.40

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proves Exchange and completion declared parts/02-mathematical-methods/03-linear-algebra-representations.tex:1753