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.