Math 218: Matrices and Vectors

Welcome! You have found the homepage of the Summer 2024 manifestation of Math 218.

Schedule

Quizzes are distributed through gradescope.

Timeframe Topic Resources
Week 0 Welcome!
Week 1 Matrices and Vectors
Adjectives ⟵ complete at home!
Matrix-Vector Products
Digraphs
Vector Geometry
Matrix Multiplication
Week 2 Row Echelon Forms
Linear Systems
Gauss-Jordan Elimination
Nonsingular Matrices
EA=R Factorizations
PA=LU Factorizations
Eigenvalues
Thu 18-Jul Exam I ⟵ covers weeks 1-2
Week 3 Null Spaces
Column Spaces
The Four Fundamental Subspaces
Linear Independence
Bases
Dimension ⟵ covered in week 4
Week 4 Orthogonality
Projections
Least Squares
A=QR Factorizations
The Gram-Schmidt Algorithm
Determinants I ⟵ covered in week 5
Thu 01-Aug Exam II ⟵ covers weeks 3-4
Week 5 Determinants II
Complex Numbers
Polynomial Algebra
The Characteristic Polynomial
Week 6 Diagonalization
Matrix Exponentials
The Spectral Theorem
Definiteness
Singular Value Decomposition
Sat 10-Aug Final Exam ⟵ click for info!