Matrices & Linear Transformations
by Anonymous Β· β 1 Β· π΄ 0
A matrix of four numbers decides where points move. Move grids and house shapes with matrices, see how the determinant scales area, and discover why the inverse disappears when the determinant is 0.
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About this app
Matrices & Linear Transformations is an interactive mathematics app for exploring how a 2Γ2 matrix moves points, grids, and shapes. Adjust the four matrix entries to see scaling, shearing, and rotation, then investigate how the determinant changes area and orientation. A separate inverse-matrix activity shows how transformations can be undone and why a determinant of zero makes an inverse impossible.
Use cases
- High school students learning matrices and linear transformations
- Teachers demonstrating matrix transformations visually
- Learners practicing determinant and area-scaling concepts
- Students exploring when a matrix has an inverse
Features
- Interactive controls for all four entries of a 2Γ2 matrix
- Visual transformation of a coordinate grid and house-shaped figure
- Determinant activity showing area scaling, flipping, and flattening
- Inverse-matrix activity with live inverse values when available
- Mission-based exercises with reset and next controls