Linear Algebra — Undergraduate Study Notes

A clear, thorough guide to introductory Linear Algebra, cover-ing systems of equations and Gaussian elimination, matrix operations and inverses, determinants, vector spaces and subspaces, linear independence/span/basis, linear transformations, eigenvalues and eigenvectors, diagonalization, and the rank-nullity theorem. Includes fully worked problems (including a 3-eigenvalue calculation and a linear-independence check), comparison tables for commonly confused concepts, a 20-term glossary, and 18 original practice questions with full explanations. Espe-cially useful for students heading into machine learning, data science, or physics, where these concepts reappear constantly. A strong companion to any standard Lin-ear Algebra textbook or course