Linear Algebra Directory

Summer 2007-2008

Handouts

§ Change of Bases

§ Isometries

§ Determinants

§ Cramer’s Rule and the Adjugate Matrix

§ Rotations and Reflections

§ The Spectral Mapping Theorem

§ The Cayley-Hamilton Theorem

§ Eigenvalues of Real Symmetric Matrices

§ Determinant Test for Positive Defininte Matrices

§ Projections

§ QR Factorization

§ Gram-Schmidt Applications - Fit, Overdetermined, Undetermined Systems

§ Change of Basis

Homework Assignments and Solutions

§ Homework From Summer of 2008

§ Homework From Summer of 2002

§ Homework Assignments Summer 2006

§ Homework Assignments Summer 2006 pdf format

§ Homework 1 Dot Products

§ Homework 2 Gram-Schmidt

§ Homework 3 Projections

§ Homework 4 Orthogonal

§ Homework 5 Cross Products

§ Homework 6 Least Squares Fit

§ Homework 7 Linear Transformations

§ Homework 8 Range and Kernel

§ Homework 9 Affine Spaces

§ Homework 10 Change of Bases