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MATH 545 Applied Linear Algebra
Systems of Equations
LU Decomposition
Error Analysis
Interpolation
Differential Equations
Orthogonality
Subspaces
Orthogonal Complement
Orthogonal Projection
The nullspace and range
QR Decomposition
Fundamental Subspaces
Least Squares Approximation
Eigenvalues
Diagonalization
Singular Value Decomposition
Computing Eigenvalues
Dicrete Fourier Transform
Complex Vectors
Discrete Fourier Transform
Frequency, Amplitude and Phase
Fast Fourier Transform
Convolution and Filtering
Jupyter Notebooks
Linear Systems of Equations
LU Decomposition
Polynomial Interpolation
Natural Cubic Spline Interpolation
Finite Difference Method
Fitting Models to Data
Principal Component Analysis
Deblurring Images
Computed Tomography
Computing Eigenvalues
Discrete Fourier Transform
Gaussian Elimination
Appendix
Matrix Multiplication
Solving special matrices
Gaussian Elimination
QR by Reflectors
Lagrange Basis
Vector and Matrix Norms
Index
