Skip to content

First year

Geometry and Algebra

Geometry and linear algebra: vectors, matrices, determinants, linear systems, vector spaces, eigenvalues and analytic geometry.

13 articles

Course syllabus

12 topics, in course order

100%complete

12 of 12 topics have a complete lesson

  1. 1 Complex numbers
  2. 2 Vectors: dot, cross and triple products
  3. 3 Linear systems and Gaussian elimination
  4. 4 Matrices and the inverse matrix
  5. 5 The determinant and Cramer's rule
  6. 6 Vector spaces, bases and dimension
  7. 7 Rank and the Rouché-Capelli theorem
  8. 8 Linear maps, kernel and image
  9. 9 Eigenvalues and diagonalisation
  10. 10 Inner product, orthogonality and the spectral theorem
  11. 11 Analytic geometry in the plane: lines and conics
  12. 12 Analytic geometry in space: lines and planes

Other articles in this subject