Matrix transformations

See how a 2 × 2 matrix moves the unit square, then practise naming transformations and finding their matrices. The columns of the matrix tell you where i and j land.

Work through the sections in order: opening each one unlocks the next. Get 5 out of 5 in a set to earn a crown, and earn all three practice crowns to unlock Advanced.

1. 1

   Explore

   Type any matrix, pick a preset or drag the arrows, and watch the unit square change.

   Open →
2. 2

   Name the transformation

   Watch the square move, then choose the right description from four options.

   Start →
3. 3

   Description → matrix

   Read a transformation in words and write down its matrix.

   Start →
4. 4

   Match the target

   Read the target shape off the grid and enter the matrix that makes it.

   Start →
5. 5

   Advanced

   All three question styles mixed, with rotations and dilations from the origin.

   Start →