Topologically and Combinatorially Adroit Linear Algebra Summer School 2023

Chapter 0) Introduction https://wordpress.com/page/conceptsofshape.space/1597

Chapter 1) What is a vector? https://wordpress.com/page/conceptsofshape.space/1584

Chapter 2) Lines, planes, flats and hyperplanes https://wordpress.com/page/conceptsofshape.space/1586

Chapter 3) Matrices https://wordpress.com/page/conceptsofshape.space/1588

Chapter 4) Square transformation matrices https://wordpress.com/page/conceptsofshape.space/1632

Chapter 5) Linear-Algebraic systems (LASs)

Chapter 6) Linear-Algebraic systems of inequalities (LASI) https://wordpress.com/page/conceptsofshape.space/1627

Chapter 7) Eigenvalues and eigenvectors

Chapter 8) Vector Spaces

Chapter 9) Linear spans-and-bases https://wordpress.com/page/conceptsofshape.space/1612

Chapter 10) Affine spaces https://wordpress.com/page/conceptsofshape.space/1606

Chapter 11) Convex subsets and functions https://wordpress.com/page/conceptsofshape.space/1601

Chapter 12) Direct sums

Chapter 15) Dual spaces

Chapter 17) The Rank-Nullity Theorem

Chapter 22) Sequences

Chapter 43) Toward topological applications of Calculus

Chapter 54) Matrix presentations of graphs

Chapter 56) Theorems forming a surprisingly equivalent tangle

Chapter 58) Combinatorial and Topological polynomials