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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)