Brian Fitzpatrick

Schedule

Topic Resources
Week 0 Welcome! [slides]
Week 1 Matrices and Vectors [slides] [video] [calc] [pset]
Adjectives [slides] [video] [calc]
Matrix-Vector Products [slides] [video] [calc] [pset]
Digraphs [slides] [video] [calc] [pset]
Week 2 Vector Geometry [slides] [video] [calc] [pset]
Matrix Multiplication [slides] [video] [calc] [pset]
Row Echelon Forms [slides] [video] [calc] [pset]
Linear Systems [slides] [video] [calc] [notes+] [pset]
Gauss-Jordan Elimination [slides] [video] [calc] [notes+] [pset]
Nonsingular Matrices [slides] [video] [calc] [pset]
EA=R Factorizations [slides] [video] [calc] [pset]
Thu 28-May Exam I covers weeks 1-2 [info] [pdf] [key]
Week 3 PA=LU Factorizations [slides] [video] [calc] [pset]
Eigenvalues [slides] [video] [calc] [pset]
Null Spaces [slides] [video] [calc] [pset]
Week 4 Column Spaces [slides] [video] [calc] [pset]
The Four Fundamental Subspaces [slides] [video] [calc] [pset]
Linear Independence [slides] [video] [calc] [pset]
Bases [slides] [video] [calc] [pset]
Dimension [slides] [video] [calc] [pset]
Orthogonality of Subspaces [slides] [video] [calc] [pset]
Projections [slides] [video] [calc] [pset]
Week 5 Least Squares [slides] [video] [calc] [pset]
A=QR Factorizations [slides] [video] [calc] [pset]
The Gram-Schmidt Algorithm [slides] [video] [calc] [pset]
Determinants I [slides] [video] [calc] [pset]
Determinants II [slides] [video] [calc] [pset]
Complex Numbers [slides] [video] [calc] [pset]
Polynomial Algebra [slides] [video] [calc] [pset]
The Characteristic Polynomial [slides] [video] [calc] [pset]
Thu 18-Jun Exam II covers weeks 3–5 [info] [pdf] [key]
Week 6 Diagonalization [slides] [video] [calc] [pset]
Matrix Exponentials [slides] [video] [calc] [notes+] [pset]
The Spectral Theorem [slides] [video] [calc] [pset]
Definiteness of Quadratic Forms [slides] [video] [calc] [notes+] [pset]
Singular Value Decomposition [slides] [video] [calc] [notes+] [pset]
Wed 24-Jun Final Exam covers everything [info]
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