VectorForge
A 2×2 matrix is not a table of numbers — it is a move of the whole plane. Rotate it, stretch it, shear it, flip it, or flatten it, and watch a shape follow. Predict where a point lands; see how the determinant scales area and which directions the matrix leaves pointing the same way. It’s the same maths a neural network runs — made visible.
How are you feeling?
A case · you decide
Elif's squashed sprite
Elif, 17 — writing the code that stretches and rotates characters in a 2D animation tool
Elif applies the matrix [[2, 4], [1, 2]] to a character and it collapses into a thin line. She expected a stretch.
The second column is twice the first, so both columns point the same way.
The determinant is 2·2 − 4·1 = 0. Every point lands on one line, and area becomes zero.
How could Elif have spotted this before running it?
She wants the character twice as wide and the same height. Which matrix does that?
Elif's tool now checks the determinant and shows a warning before applying any matrix that would flatten a character.
Brain Break
Brain break
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