Introduction
Linear Algebra is a fundamental area of mathematics concerned with vectors, vector spaces, linear mappings, and systems of linear equations. It is essential for various applications in science, engineering, computer science, economics, and more.
Contents
Linear Algebra of
Gaussian Elimination
Transpose and Determinant
Rank and Nullity
Matrix and Vector Calculus
Abstract Linear Algebra
Vector Spaces
Direct Sum
Fundamental Theorem of Linear Maps
Duality
Eigenvalues and Eigenvectors
Similarity and Generalized Eigenspaces
Inner Products
Sesquilinear Forms
Normed Spaces
Singular Value Decomposition
Jordan Normal Form
Tensor Products and Algebras
Tensors and Tensor Products
Pairings and Copairings
Exterior Forms
Graded Vector Spaces
More …
Machine Learning
Convex Optimization
Differential Geometry