AlgoBubbles vs Linear Algebra World

Algorithms become easier when you can see every step. AlgoBubbles turns 33 computer-science algorithms into clear, interactive animations. Move forward or backward one step at a time, play the full sequence, and understand what each comparison, swap, or graph visit means. LEARN WITH CONTEXT • Compare best, average, and worst-case time complexity • See space complexity and practical use cases • Read clear explanations for every animation step • View implementation code in Swift, Python, and JavaScript BUILD REAL PROGRESS • Search the full algorithm catalog • Track completion by category and across the app • Learn through Arabic or English with full RTL support • Start with a short, value-first onboarding guide • Continue learning offline without creating an account EXPLORE 33 ALGORITHMS Sorting, searching, graph traversal and shortest paths, data structures, string matching, dynamic programming, cryptography, and divide-and-conquer techniques. Four algorithms are free. A single optional premium purchase unlocks the remaining 29 algorithms and removes ads—no subscription. Download AlgoBubbles and turn abstract algorithms into visible, understandable steps.

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.