Linear Transformations 0.0 / 5 ? Further MathsLinear TransformationsA2/A-levelEdexcel Created by: chalky-nerdCreated on: 10-12-20 18:28 What are invariant points/lines? Points/lines which are mapped onto themselves 1 of 16 Reflection in y axis -1 0 0 1 2 of 16 Reflection in x axis 1 0 0 -1 3 of 16 Reflection in y = x 0 1 1 0 4 of 16 Reflection in y = -x 0 -1 -1 0 5 of 16 For transformation M, det M = Scale factor 6 of 16 For transformation PQ, Q followed by P 7 of 16 A 0 0 B Stretch scale factor A parallel to the x-axis and scale factor B parallel to the y-axis 8 of 16 For A 0 0 B, x and y axis are invariant lines and origin is invariant point 9 of 16 Reflection in plane x = 0 -1 0 0 0 1 0 0 0 1 10 of 16 Reflection in plane y = 0 1 0 0 0 -1 0 0 0 1 11 of 16 Reflection in z = 0 1 0 0 0 1 0 0 0 -1 12 of 16 Rotation θ anticlockwise about x axis 1 0 0 0 cos θ -sin θ 0 sin θ cos θ 13 of 16 Rotation θ anticlockwise about y axis cos θ 0 sinθ 0 1 0 -sinθ 0 cosθ 14 of 16 Rotation θ anticlockwise about z axis cos θ -sin θ 0 sinθ cos θ 0 0 0 1 15 of 16 Transformation A^-1 Reverses transformation A 16 of 16
Comments
No comments have yet been made