1. Introduction to Abstract Algebra and Linear Algebra

Apparently you should first learn something called Abstract Algebra before starting with Linear Algebra. Abstract Algebra is the subject that explains groups, rings, fields, vector spaces, etc...

Videos:

• Socratica: Abstract Algebra

After that, you start learning Linear Algebra:

Chapters (Interactive Linear Algebra):

• Overview
• 1. Systems of Linear Equations: Algebra
  • 1.1 Systems of Linear Equations
  • 1.2 Row Reduction
  • 1.3 Parametric Form

Videos:

• Khan Academy: Matrices for solving systems by elimination

• Professor Dave Explains: Systems of Linear Equations

• Exercises
  • Kimberly Brehm: Systems of Linear Equations
  • Kimberly Brehm: Solve Systems of Linear Equations in Augmented Matrices Using Row Operations
  • Kimberly Brehm: Row Reduction and Echelon Forms
  • Kimberly Brehm: Solution Sets and Free Variables