2. Vectors, Systems of Linear Equations

Chapters (Interactive Linear Algebra):

• 2. Systems of Linear Equations: Geometry
  • 2.1 Vectors
  • 2.2 Vector Equations and Spans
  • 2.3 Matrix Equations
  • 2.4 Solution Sets

Videos:

• 3Blue1Brown: Vectors

• Khan Academy: Vectors

• Professor Dave Explains: Understanding Matrices and Matrix Notation

• Exercises
  • Kimberly Brehm: Vector Equations
  • Kimberly Brehm: Linear Combinations
  • Kimberly Brehm: The Matrix Equation Ax=b
  • Kimberly Brehm: Computation of Ax
  • Kimberly Brehm: Homogeneous System Solutions
  • Kimberly Brehm: Non-Homogeneous System Solutions
  • Kimberly Brehm: Applications of Linear Systems - Economic Sectors
  • Kimberly Brehm: Applications of Linear Systems - Network Flow