Welcome to the Math 200A homepage!

Here is where you'll find problem sets, solutions (in web-viewable and printable forms), and various other sorts of course materials. Printable files are in Adobe PDF format (get Acrobat Reader); when printing, be sure to

Linear algebra preliminaries

Logic and proof

Span, linear independence, and basis

Basis, coordinates, and the FTVS (plus column-vector methods)

Linear transformations, part 1: kernel, image, and from collections/matrices

Linear transformations, part 2: the Fundamental Theorem of Linear Transformations and change-of-basis

Endomorphisms, similarity, and diagonalization

Matrix algebra, the determinant, and the characteristic polynomial

Inner product spaces, orthogonality, and projection/approximation

Logic and proof

Span, linear independence, and basis

Basis, coordinates, and the FTVS (plus column-vector methods)

Linear transformations, part 1: kernel, image, and from collections/matrices

Linear transformations, part 2: the Fundamental Theorem of Linear Transformations and change-of-basis

Endomorphisms, similarity, and diagonalization

Matrix algebra, the determinant, and the characteristic polynomial

Inner product spaces, orthogonality, and projection/approximation

Our three main logical constructions (for all, there exists, and implies)

A typical span proof [PS 2, problem 7(a)(ii)]

A typical linear independence proof [PS 3, problem 7(a)(ii)]

The Exchange Lemma [PS 4, problem 2]

A typical span proof [PS 2, problem 7(a)(ii)]

A typical linear independence proof [PS 3, problem 7(a)(ii)]

The Exchange Lemma [PS 4, problem 2]