Linear Algebra

Path: math-researcher-teacher/domains/algebra-geometry/linear-algebra/

🔬 Core Capabilities

Provides rigorous tools for matrix analysis and decomposition using NumPy and SciPy.

1. Matrix Decompositions

• •SVD (Singular Value Decomposition)
• •Eigendecomposition (Spectral Theorem)
• •Cholesky / LU / QR

2. Spectral Theory

• •Eigenvalue distribution
• •Spectral Radius & Norms

💻 Python Tools

linalg_tools.py:

• •compute_svd(A)
• •compute_spectral_decomposition(A)
• •is_positive_definite(A)

🔗 Related Domains

• •Random Matrices: See domains/stochastics/advanced-stochastics for Wigner/Wishart matrices.