Linear Algebra

Quarter 1

Assignments:

Video: Lecture 1: The Geometry of Linear Equations
Video: Lecture 2: Elimination with Matrices
Homework: Chapter One.I.1 Gauss’s Method p.9-12

Assignments:

Video: Lecture 7: Solving Ax = 0: pivot variables, special solutions
Video: Lecture 8: Solving Ax = b: row reduced form R
Homework: Chapter One.I.2 Describing the Solution Set p.20-23
Homework: Chapter One.I.3 General = Particular + Homogeneous p.33-34

Assignments:

Video: Vectors, what even are they?
Homework: Chapter One.II.1 Vectors in Space p.41-42
Homework: Chapter One.II.2 Length and Angle Measures p.47-49

Assignments:

Video: Linear transformations
Homework: Chapter One.III.1 Gauss-Jordan Reduction p.54-55
Homework: Chapter One.III.2 The Linear Combination Lemma p.62-64
Milestone: Complete Chapter One

Assignments:

Video: Linear combinations, span, and basis vectors
Homework: Chapter Two.I.1 Definition of Vector Space p.92-96
Homework: Chapter Two.I.2 Subspaces and Spanning Sets p.103-107

Assignments:

Video: Independence, basis, and dimension
Homework: Chapter Two.II.1 Linear Independence: Definition and Examples p.117-120
Homework: Chapter Two.III.1 Basis p.127-129

Assignments:

Video: Lecture 10: The four fundamental subspaces
Homework: Chapter Two.III.2 Dimension p.133-135
Homework: Chapter Two.III.3 Vector Spaces and Linear Systems p.141-143

Assignments:

Video: Lecture 11: Matrix spaces; rank 1; small world graphs
Homework: Chapter Two.III.4 Combining Subspaces p.150-152
Milestone: Complete Chapter Two

Assignments:

Semester 1 Midterm Exam Review

Assignments:

Semester 1 Midterm Exam