Matrices & Linear Transformations
by Anonymous
Change the four entries of a matrix to transform grids and a house, and see how the determinant scales area and why the inverse vanishes when it is 0.
About this app
Matrices & Linear Transformations is an interactive mathematics app for exploring how a 2×2 matrix changes points, grids, and shapes. Adjust the four entries a, b, c, and d to see scaling, shearing, and rotation, then investigate how the determinant controls area and orientation. A separate inverse-matrix view shows when a transformation can be undone and why determinant zero prevents an inverse.
Use cases
- High school students learning matrices and linear transformations
- Teachers demonstrating matrix transformations with visual examples
- Learners practicing determinants as area scale factors
- Students exploring invertible and non-invertible matrices
Features
- Interactive 2×2 matrix controls for changing all four entries
- Visual comparison of original and transformed grids and shapes
- Mission activities covering scaling, shearing, rotation, and matrix entries
- Determinant display showing area scale, flipping, or flattening
- Inverse-matrix view that updates for reversible transformations
- Reset and next-mission controls