proof ch:03-linear-algebra-representations@proof-18

open in the book · parts/02-mathematical-methods/03-linear-algebra-representations.tex:2306

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proof : ch:03-linear-algebra-representations@proof-18proofproposition 5.49: Injective, surjective, invertible5.49definition 5.39: Kernel, image, nullity, rank5.39proposition 5.48: Existence, uniqueness, and linearity of the inverse5.48theorem 5.40: Rank–nullity5.40lemma 5.97: Fitting splitting5.97proposition 5.31: Gram criterion5.31proposition 5.2: Jacobi's formula, column form5.2proposition 5.90: Polar decomposition5.90proposition 5.130: An orthogonal transformation is an isometry5.130theorem 5.71: The eigenvalues are the roots of the characteristic polynomial5.71

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proves Injective, surjective, invertible declared parts/02-mathematical-methods/03-linear-algebra-representations.tex:2306