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
Week 2 Vector Geometry
Matrix Multiplication
Row Echelon Forms
Linear Systems
Gauss-Jordan Elimination
Nonsingular Matrices
EA=R Factorizations ⟵ not on Exam I!
Thu 30-May Exam I ⟵ covers weeks 1&2 material
Week 3 PA=LU Factorizations
Eigenvalues
Null Spaces
Week 4 Column Spaces
The Four Fundamental Subspaces
Linear Independence
Bases
Dimension
Orthogonality
Projections
Week 5 Least Squares
A=QR Factorizations
The Gram-Schmidt Algorithm
Determinants I
Determinants II
Complex Numbers
Polynomial Algebra
The Characteristic Polynomial
Thu 20-Jun Exam II ⟵ covers weeks 3-5 & EA=R
Week 6 Diagonalization
Matrix Exponentials
The Spectral Theorem
Definiteness
Week 7 Singular Value Decomposition
Wed 26-Jun Final Exam ⟵ click for info!