Exercise 13.  Let  .  Find the triangle onto which the triangle with vertices    is mapped.  

Solution 13.

See text and/or instructor's solution manual.

For this linear mapping    we compute the image points as follows:    

Therefore, the triangle with vertices    

is mapped onto the triangle with vertices  .  

The transformation    maps the triangle with vertices  
onto the triangle with vertices  ,  respectively.

We are done.   

Aside.  We can let Mathematica double check our work.

This solution is complements of the authors.

(c) 2008 John H. Mathews, Russell W. Howell