Linear Algebra

Representations of linear systems

• Vector Spaces

  Spaces supporting addition and scalar multiplication of elements

• Inner Product Spaces

  Vector spaces with additional structure

• Matrices

  Multi-dimensional data structures

• Determinants

  Fundamental property of square matrices

• Eigenvalues and Eigenvectors

  Fundamental decomposition of square matrices

• Matrix Decompositions

  Decompositions of square and non-square matrices

• Linear Transformations

  Mappings between vector spaces