Math 464, Worksheet 12
For this assignment we will assume that M,P,D,ฮปiand viare as in Worksheet 11. You should
probably do all your plots on one set of axes.
1. Plot v1. That is: get out graph paper; draw x- and y-axes; draw a dot at the location (1,1).
If you want, you can also draw an arrow from the origin to the dot, but this is not necessary.
2. Plot Mv1. Start trying to think of Mv1as the place that Mmoves v1to.
3. Plot v2and Mv2.
4. Plot v2โv1.
5. Plot M(v2โv1).
6. Plot 3v1โ3v2.
7. Plot M(3v1โ3v2).
8. Plot the vector w=๎โ2
2๎.
9. Solve the equation av1+bv2=wfor aand b.
10. Compute Pโ1w.
11. Plot Mw. You should be able to do this without doing any arithmetic or matrix operations.
12. Plot the vector i=๎1
0๎.
13. Solve the equation xv1+yv2=ifor xand y.
14. Plot Mi. You should be able to do this without doing any arithmetic or matrix operations.
15. Describe the location of M10 i.
16. Describe the location of M10 ๎0
1๎.
1