Dr. Nestler's Math 13 (Linear Algebra) - Spring 2019 - section 4267 - TTh 5:15-6:35pm - room MC 73

Class information

        Syllabus (PDF) (8 pages)

Additional resources

        Office hours:  MW 1:30-2:00pm, T 3:30-5:00pm, Th 4:30-5:00pm in MC 61; Math 13 workshop Th 3:30-4:40pm in MC 84B.

        Math Lab

Class notes

At the start of course you will receive a 19-page packet of notes (PDF) that you should bring with you to class. 

Optional reading

A proof that the reduced echelon form of a matrix is unique (2-page PDF, written by Thomas Yuster of Middlebury College)

Are the Elementary Row Operations Really Elementary? (PDF)

A Proof of the Associativity of Matrix Multiplication (PDF)

Representing Elementary Row Operations (3-page PDF)

A Partial Proof of the Laplace Expansion Theorem (2-page PDF)

Commutativity of Addition in a Vector Space Follows from Most of the Other Axioms (2-page PDF)

Bases for Infinite Dimensional Vector Spaces (9-page PDF, written by Professor Karen Smith of the University of Michigan)

Some results concerning dimension (2-page PDF)

Row and Column Spaces Have Equal Dimensions: Two More Proofs (3-page PDF)

A direct proof of the rank-nullity theorem (2-page PDF)

Block Matrices and Relationships Between AB and BA (6-page PDF)