Complex Numbers

Complex Linear Map

az + b in the complex plane

  • University
  • about 4 min
  • 11 of 18 in the family
Not started
b=0.5+0i

Coefficient a (scale+rotate)

Re(a)=1Im(a)=0.5

Translation b

Re(b)=0.5Im(b)=0

Interpolation t=1.00

w=(1+0.5i)z+(0.5+0i)w = (1+0.5i)z + (0.5+0i)

The linear map w=az+b transforms the whole plane: a rotates and scales the grid, b translates it. Use the interpolation to see the grid morph.