\chapter{Linear Transformations and Matrices} \subimport{./}{linear-transformations-null-spaces-and-ranges.tex} \subimport{./}{the-matrix-representation-of-a-linear-transformation.tex} \subimport{./}{composition-of-linear-transformations-and-matrix-multiplication.tex} \subimport{./}{invertibility-and-isomorphisms.tex} \subimport{./}{the-change-of-coordinate-matrix.tex} \subimport{./}{dual-spaces.tex} \subimport{./}{homogeneous-linear-differential-equations-with-constant-coefficients.tex}