Homework # 4

Hand-in (Due Friday, March 6 - 3pm):

  Let T be the map from R^2 to itself, given by perpindicular projection onto
  the line y = mx.  Find the matrix of T with respect to the standard basis. 
  (Hint:  Do this by first finding a basis of R^2 such that the matrix of T is
 "nice" w.r.t this basis.   Then doing a change of coordinates
  into the standard basis.)

  Sec. 3.2 - 6f, 21
  Sec. 3.3 -  10 
  
 

Additional Problems:

  
  Sec. 3.1 - 1,3,5,
  Sec. 3.2 - 1,2,3, 6b,c,d,7
  Sec. 3.3 - 4, 8