3. Linear Independence, Basis, Dimensions

Chapters (Interactive Linear Algebra):

• 2.5 Linear Independence
• 2.6 Subspaces
• 2.7 Basis and Dimension
• 2.8 Bases as Coordinate Systems
• 2.9 The Rank Theorem

Videos:

• 3Blue1Brown: Linear combinations, span, and basis vectors

• Khan Academy: Linear combinations and span
• Khan Academy: Linear dependence and independence
• Khan Academy: Subspaces and the basis for a subspace

• Exercises
  • Kimberly Brehm: Linear Independence
  • Kimberly Brehm: Special Ways to Determine Linear Independence