Week 1

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:

• Overview
• 1.1 Systems of Linear Equations
• 1.2 Row Reduction
• 1.3 Parametric Form

Videos:

• Khan Academy: Matrices for solving systems by elimination

• 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