ML Prep

Linear Algebra

Cover matrix fundamentals, subspaces, projections, spectral structure, and decomposition.

Recommended resources

Instructions

  1. Split the set across sessions.
  2. Retry every hinted item independently.

Ordered items

  1. Matrix fundamentals under time pressureLinear Algebra · Easy · 8 min · Original
  2. Basis, dimension, and coordinatesLinear Algebra · Easy · 8 min · Original
  3. Nullspace, column space, pivots, and block structureLinear Algebra · Medium · 14 min · External
  4. Projection matrix as geometry and spectrumLinear Algebra · Medium · 15 min · External
  5. Least squares, QR, and orthonormal projectionLinear Algebra · Hard · 18 min · External
  6. Symmetry, orthogonality, and eigenspacesLinear Algebra · Medium · 16 min · External
  7. Positive definite and semidefinite transformationsLinear Algebra · Hard · 14 min · External
  8. Singular value decomposition from the Gram matrixLinear Algebra · Medium · 10 min · External
  9. Low-rank error and explained varianceLinear Algebra · Medium · 8 min · Original

Completion

Explain the algebraic and geometric meaning of rank, projection, eigenstructure, and SVD.

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