Earth to Mars

Introduction to Linear Algebra

Linear algebra is the study of vector spaces and linear mappings between those spaces.  It simplifies systems of equations with high numbers of variables to be easily solved. This has applications in Quantum Mechanics and in Regression Analysis.

The prerequisites for this course are:  Calculus II

This course is a co- or prerequisite for: Classical Mechanics I 

Book resources 

Section 5.1 - Orthogonality in R^n

Section 5.2 - Orthogonal Complements and Orthogonal Projections

Section 5.3 - The Gram-Schmidt Process and the QR Factorization

Section 5.4 - Orthogonal Diagonalization of Symmetric Matrices

Section 5.5 - Applications