In Problems 17 there may be more than one linear mapping that works.) find a linear mapping that maps the set S onto the set S'. (Note: 17. S is the triangle with vertices 0, 1, and 1+ i. S' is the...

In Problems 17 , find a linear mapping that maps the set S onto the set S'. (Note: there may be more than one linear mapping that works.)

Extracted text: In Problems 17 there may be more than one linear mapping that works.) find a linear mapping that maps the set S onto the set S'. (Note: 17. S is the triangle with vertices 0, 1, and 1+ i. S' is the triangle with vertices 2i, 3i, and-1+3i.