Linear Algebra
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Linear Algebra

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1. Linear Equation and Linear System
span
Independence
Transformation
1. Linear Equation and Linear System
span
Independence
Transformation
2. Least Squares Problem
Least Squares
Gram-Schmidt
QR-decomposition
2. Least Squares Problem
Least Squares
Gram-Schmidt
QR-decomposition
3. Eigenvalue Decomposition
Eigenvector
Eigenvalue
Diagonalization
EVD
3. Eigenvalue Decomposition
Eigenvector
Eigenvalue
Diagonalization
EVD
4. Preliminaries for SVD
SVD
Multiplicity
Spectral Theorem
Quadratic Form
4. Preliminaries for SVD
SVD
Multiplicity
Spectral Theorem
Quadratic Form
5. Singular Value Decomposition
SVD
orthogonally diagonalizable
s.p.d
5. Singular Value Decomposition
SVD
orthogonally diagonalizable
s.p.d