Linear Algebra is the branch of mathematics which deals with
- solutions of systems of linear equations
- the related geometric notions of vector spaces, matrices and linear transformations
Outline
Systems of Linear Equations Matrix Determinants, Inverses, and Rank Vector Spaces and Subspaces Linear transformation Eigenvalues and Eigenvectors Diagonalization - Orthogonality & Projections (The Geometry) - Matrix Decompositions (Diagonalization and SVD)