Topics in Matrix/Linear Algebra Perspective on Systems in 2 Variables

Numbered in the order to learn them.

  1. Writing 2×2 Systems in Terms of Matrices

  2. 2×2 Elimination/Reduction Perspective on Linear Systems

  3. Writing M×2 Linear System in Terms of Matrices

  4. M×2 Elimination/Reduction Perspective on Linear Systems

  5. What Kinds of "Two-Dimensional" Linear Functions Are There?

  6. Inverse of a "Nondegenerate" 2×2 Matrix

  7. Which 2×2 Linear Maps Are Injective? Bijective? Surjective?

  8. Composition vs. 2×2 Matrix Multiplication

  9. Solving Most 2×2 Systems via Matrix Inverse or Cramer's Rule

  10. Why Is There Only an Inverse Matrix (Method) for M=2?

Type a concept, like “slope” or “photosynthesis”.

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