Algebra

The study of algebraic structures and the general rules governing operations on sets of objects.

Algebraic Structures

• Groups
• Fields

Linear Algebra

• Linear Algebra (index)
  • Vector Spaces (span, independence, basis, dimension)
  • Linear Maps (matrix of a map, change of basis, kernel, image, rank-nullity)
  • Matrices (arithmetic, row reduction, determinant, inverse, trace)
  • Eigenvectors and Eigenvalues (eigenvalues, diagonalisation)
  • Inner Product Space (bilinear forms, Cauchy-Schwarz)
  • Orthogonality and Projections (Gram-Schmidt, projections)
  • Matrix Decompositions (LU, QR, Cholesky, spectral, SVD)

Backlinks

• Probability Spaces
• Topics