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The Singular Value Decomposition — MatheLinux

Linear Algebra & Optimization for Quants

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Layer 1Preview layerFree▾

Vectors, Dot Products & Norms8m

Layer 2Vectors & MatricesPro▾

Matrices & Matrix Multiplication8m
Linear Systems & Gaussian Elimination8m
Inverses & Determinants8m

Layer 3Vector Spaces & EigenstructurePro▾

Vector Spaces, Span, Basis & Rank8m
Eigenvalues & Eigenvectors8m
Diagonalization & Symmetric Matrices8m
Quadratic Forms & Positive Definiteness8m

Layer 4Decompositions & PCAPro▾

The Singular Value Decomposition8m
Covariance & Correlation Matrices8m
Principal Component Analysis8m

Layer 5Least Squares & RegressionPro▾

Orthogonality & Projections8m
Least Squares & the Normal Equations8m
Linear Regression & Factor Models8m

Layer 6Optimization for FinancePro▾

Convex Sets & Functions8m
Gradients & First-Order Conditions8m
Constrained Optimization & Lagrange Multipliers8m
Mean-Variance Portfolio Optimization8m

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The Singular Value Decomposition

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