Specialist Mathematics · Unit 2 · Matrices and transformations · Transformations in the plane

Use basic linear transformations: dilations of the form (𝑥, 𝑦) → (𝑎𝑥, 𝑏𝑦), rotations about the origin and reflection in a line that passes through the origin, and the representations of these transformations by 2 × 2 matrices. dilation of factor 𝑎 parallel to the 𝑥-axis and factor 𝑏 parallel to the 𝑦-axis: [𝑎 0 0 𝑏] rotation of angle 𝜃 anticlockwise about the origin: [cos(𝜃) − sin(𝜃) sin(𝜃) cos(𝜃)] reflection in the line 𝑦 = 𝑥 tan(𝜃): [cos(2𝜃) sin(2𝜃) sin(2𝜃) − cos(2𝜃)]

Learning objective 7 of 7 in this subtopic