Linear Algebra Visualizer

Linear algebra clicks when you can see it.

Linear Algebra Visualizer turns the abstract machinery of 2D transformations into something you can watch, tweak, and reason about.

* Apply a 2×2 matrix and the app animates exactly where your shape lands
* Step by step explanation of the transformation for each point
* See the eigenvectors and values
* Plot your own points

WHY IT'S DIFFERENT

* Most tools show you the answer. This one shows you why the answer is the answer.
* The core insight: the columns of a matrix are where the basis vectors î and ĵ land — and this idea runs through every part of the interface.
* Column one is always red. Column two is always green.
* Those same colors thread through:
* the transformed basis vectors on the canvas
* the decomposition arrows
* the step-by-step math
* The result: you can follow a single number from your matrix input all the way through to its effect on the output.

FEATURES:

* 2D coordinate canvas with static grid, warped grid, and axes
* See Eigenvectors and Eigenvalues in action
* Animated transformations that interpolate from identity to your target matrix
* Color-coded 2×2 matrix input with one-tap presets: Rotate 90°, Scale 2×, Shear, Reflect x-axis, Reflect y-axis
* Step-by-step math panel showing any selected point rewritten as x · col1 + y · col2, with every number color-matched to its column
* Decomposition overlay that draws the selected point as two arrows tip-to-tail — x · î' plus y · ĵ' — landing exactly where the transformed point sits

WHO IT'S FOR
* Students working through their first linear algebra course
* Graphics students
* Teachers who want a live demo on Mac
* Anyone who has stared at a matrix equation and thought "but why does it work?"

Download now to start taking your linear algebra to the next level!