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Fundamentals of Linear Algebra for Quantitative Finance and Machine Learning

  • Vectors are fundamental in representing financial data for portfolio management and risk analysis.
  • Matrices play a key role in portfolio analysis for calculations of covariance, correlation, risk decomposition, and eigen decomposition.
  • Techniques such as Singular Value Decomposition (SVD), linear regression, Positive Definite Matrices, Markov chains, Principal Component Analysis (PCA), Singular Spectrum Analysis (SSA), and Kalman filters are crucial in financial applications.
  • Understanding linear algebra fundamentals is essential for developing quantitative finance and machine learning models, enabling informed decision-making and robust risk management systems.

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