3D Matrix Transformations

The unit cube and its image under a 3 × 3 matrix: the columns, the determinant as the volume scale factor, reflections, rotations, shears and singular matrices.

The unit cube and its image

Drag to turn the view. Click any entry of the matrix to change it.
Unit cubeImage under M i → Mij → Mjk → Mk

The matrix

M =

Click any entry to change it: slide the bar, press − / +, or type it. The slider moves in steps of 0.1; turn on Integers for whole numbers.

The columns are the images of i, j and k

Determinant and volume