Portable learning
publiccourseMCF 1.1

Linear Algebra 0.2.0

Published by @apv on August 12, 2026.

Source checksum
272aa19c343eee4dc2b23f711e76f6a28ddca16ae3fb679a87ee8ddaa86e3ca3
Package size
90.8 KiB
Validation
valid · 0 diagnostics
Manifest ID
courses.theoria.polytechnical.linear-algebra
Manifest version
0.2.0
Entry
undefined
Language
en-CA
License
CC-BY-4.0
Authors
APV, Theoria
Subjects
mathematics, linear algebra, matrices, vector spaces, eigenvalues, least squares, inverse problems
Level
quantitative foundations
Structure
33 lessons · 57 activities · 168 questions

Learning outcomes

  1. Solve and interpret linear systems using elimination, pivots, rank, and matrix structure.
  2. Reason with span, independence, basis, coordinates, subspaces, null spaces, and column spaces.
  3. Represent and compose linear maps, change bases, and interpret common geometric transformations.
  4. Use determinants as oriented volume scaling and as one equivalent test of square-matrix invertibility.
  5. Compute eigenvalues/eigenvectors, diagonalize when possible, and analyse repeated linear dynamics.
  6. Use inner products, Gram-Schmidt, QR intuition, and orthogonal projection.
  7. Solve overdetermined systems by least squares and interpret residuals, projection, and conditioning.
  8. Apply linear algebra to stochastic-style dynamics, quadratic forms, and synthetic sensor inverse problems.

Release notes

No release notes were provided.

Canonical source is immutable

This release points to the validated source `.mcf.zip`. Browser-compiled learner output is derived and is not treated as repository source.