# linear-algebra

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

- Author: Develata
- Repository: Develata/Deve-Skills
- Version: 20260129203735
- Stars: 0
- Forks: 0
- Last Updated: 2026-02-06
- Source: https://github.com/Develata/Deve-Skills
- Web: https://mule.run/skillshub/@@Develata/Deve-Skills~linear-algebra:20260129203735

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# 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.