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Linear Algebra · 14 lessons

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  1. 1Matrices as Transformations of the Plane
  2. 2The Determinant as an Area Scale Factor
  3. 3Composing Transformations by Multiplying Matrices
  4. 4Invariant Points and Lines
  5. 5Matrices as Transformations of Space
  6. 6The Determinant as a Volume Scale Factor
  8. 7Eigenvalues and Eigenvectors
  9. 8The Characteristic Polynomial
  10. 9Finding an Eigenvector
  11. 10Diagonalizing a 2 × 2 Matrix
  12. 11Matrix Powers by Diagonalization
  14. 12Transition Matrices
  15. 13Transition Diagrams
  16. 14The Long-Run Steady State

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