MAT 335-1

Homework Assignment #4

Hand in Wednesday, September 19, 2007

 

 

1.  Exercises from Section 1.7

 

                   # 6, 8, 14, 32, 40

 

2.  Exercises from Section 1.8

 

                   # 6, 16

 

3.  Show that the transformation   given by    is linear.

                                                            

 

4.  Show that the transformation     given by                   

     is NOT linear.

                                                                      

 

5.  Show that the transformation    given by   

     is NOT linear.

                                                                      

 

 

Always give reasons and show your work.  Indicate where and how

you used MATLAB, as appropriate.