Linear Algebra World vs Compass Geometry Drills 2026

Linear Algebra World (LAW) presents linear algebra in a way that is accessible yet rigorous. It is designed for students of engineering, mathematics, data science and related fields, and may also serve as a visual presentation tool for instructors. The app combines three roles: • matrix calculator • interactive algorithm step visualizer • carefully designed learning pathway through linear algebra Our goal is to present linear algebra as a coherent system built on a small set of axioms. Definitions are separated from consequences, logical dependencies are made explicit, and notation is kept minimal to reduce cognitive load. Visual tools are used extensively—even for abstract topics such as the four fundamental subspaces—so that geometric intuition and algebraic reasoning reinforce one another. The curriculum begins with vectors as coordinates and matrices as collections of vectors, and currently covers topics through QR factorization. Upcoming additions include OLS, eigendecomposition, SVD, and PCA. This app builds on our earlier Matrix Solver Step by Step, a highly rated matrix computation app used by students for several years. LAW adds a structured curriculum along with LaTeX import and export. LAW is designed for serious learners who want to understand the structure behind the computations. For quick step-by-step matrix calculations, Matrix Solver Step by Step may be the more direct tool. Your constructive feedback is essential to the continued refinement of the app.

Compass Geometry Drills is an offline practice tool for middle school geometry, focused on learning steps, doing exercises, and reviewing mistakes. It breaks common compass-and-straightedge construction problems into clear checklist steps so students can understand the order and reasoning behind each construction. Key features: 1. Construction question bank: Covers perpendicular bisectors, angle bisectors, perpendicular lines through a point, copying angles, triangle constructions, and other common topics. 2. Step breakdowns: Each exercise includes given conditions, the goal, construction steps, and key reasons for self-study after class. 3. Draft markings: Record auxiliary lines, intersections, arcs, and key conclusions to build your own solution process. 4. Mistake review: Save missed problems, difficulty tags, and review status for focused practice by topic. 5. Progress stats: Track practice count, accuracy, mistake distribution, and recent review records locally. All data stays on your device. No login is required, the app does not connect to the internet, and no personal information is collected.