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Systems of Equations

LU Decomposition
Error Analysis
Interpolation
Differential Equations

Orthogonality

Subspaces
Orthogonal Complement
Orthogonal Projection
QR Decomposition
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

Appendix

Matrix Multiplication

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By UBC Math

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