This repository is a Chinese translation of The Art of Linear Algebra, a visual educational resource that makes abstract linear algebra concepts concrete through clear graphical diagrams. Its core approach replaces symbolic derivations with intuitive illustrations of vector and matrix operations, matrix factorizations, and eigenvalue properties, helping learners see how matrices work from multiple perspectives.
The guide distinguishes itself by teaching matrix factorizations—such as LU, QR, eigenvalue decomposition, and singular value decomposition—through a family of decomposition techniques presented in comparative diagrams. It introduces a dot-product and linear-combination dual view for multiplication, maps eigenvalue properties directly to factorizations, and shows each matrix through four simultaneous representations to build a deeper intuition for linear transformations.
Beyond its core visual pedagogy, the resource also explains matrix types and their interconnections, illustrates stepwise multiplication sequences, and provides a comprehensive diagram of the “matrix world” for comparative learning. This Chinese edition covers the same diagrammatic approach as the original, offering a practical reference for anyone learning or reviewing linear algebra visually.
