Jupyter Guide to Linear Algebra
Welcome to the Jupyter Guide to Linear Algebra
Introduction to Jupyter
Introduction to Python
Introduction to NumPy and Matplotlib
Linear Systems
Gaussian Elimination
Matrix Algebra
Solving Systems using Elimination
Inverse Matrices
LU Factorization
Applications of Linear Systems and Matrix Algebra
Vector Spaces
General Linear Systems
Linear Combinations
Linear Independence
Bases
Vector Space Examples
Applications of Vector Spaces
Linear Transformations
Matrix Representations
Transformations in a Plane
Applications of Linear Transformations
Inner Products
Orthogonalization
QR Factorization
Orthogonal Subspaces
Least Squares Solutions
Projections
Applications of Inner Products
Eigenvalues
Diagonalization
Approximating Eigenvalues
Applications of Eigenvalues and Eigenvectors
Solutions
Introduction to Jupyter
Linear Systems
Vector Spaces
Linear Transformations
Inner Products
Eigenvalues
.ipynb
.pdf
Binder
Live Code
Solutions
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Solutions to selected exercises are currently being added.
Applications of Eigenvalues and Eigenvectors
Introduction to Jupyter
