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Chapter notes for Apostol's Calculus Volume 2, Chapter 2, Sections 2.1-2.3 and solutions to Chapter 2, Section 4 - Exercises on linear transformations, null space/range, and nullity/rank of linear transformations.
Chapter notes for Apostol's Calculus Volume 2, Chapter 1, Sections 1.14-1.16 and solutions to Chapter 1, Section 17 - Exercises on the Gram-Schmidt process, projections, and approximations in Euclidean spaces.
Chapter notes for Apostol's Calculus Volume 2, Chapter 1, Sections 1.11 and 1.12 and solutions to Chapter 1, Section 13 - Exercises on the inner product.
Chapter notes for Apostol's Calculus Volume 2, Chapter 1, Sections 1.6 through 1.9 and completed solutions for Chapter 1, Section 10 on subspaces of a linear space.
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