Session 3 - Linear Algebra I

Vectors, matrices, and the geometry of data in many dimensions.

Topics covered

  • Vectors as points, arrows, and lists of features; linear combinations
  • The dot product: similarity, length, angle, and projection
  • Matrices as data tables and as transformations of space
  • Matrix multiplication and systems of linear equations
  • The inverse, the determinant, and rank

Materials


Maths Training Crash Course 2026 · Département d'Études Cognitives, ENS-PSL · Ali Shiravand & Sara Moussaoui · supervised by Prof. Amaury Lambert

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