Assignments

• Assignment 1 due Tuesday, Sept 23. From the textbook:
  • p. 20: 3, 5
  • p. 24, 25: 1b, 1c, 3
  • p. 43: 3
  • Prove that the set of vectors is a vector space, where addition and scalar multiplication are defined component-wise (as in class). Is the set of vectors also a vector space?

• Assignment 2 due Tuesday, Oct 7. From the textbook:
  • p. 53: 2
  • p. 61: 6
  • p 73: 1
  • p 79: 1
  • p 92: 1

• Assignment 3 due Thursday, Oct 23. From the textbook:
  • p. 93: 2
  • p. 100: 1
  • p 107: 3
  • Let S = {1 + t + t³,2 + kt − t²,t³,(k − 2)t}⊂P₃(t) , where P₃(t) is the vector space of polynomials in t of degree 3. Find all values of k such that Span(S)=P₃(t) .

• Assignment 4 due Thursday, Nov 6. From the textbook:
  • p. 120-121: 5
  • p. 126-127: 2
  • p 141: 2

• Assignment 5 due Thursday, Nov 20. From DeFranza-Gagliardi:
  • p. 299: 34
  • P. 225: 36
  • p. In Assignment 4 (problem 2 on pages 126-127 of the previous book) you proved that rotation matrices do not have real eigenvalues for angles which are not integer multiples of π . Choose three different angles which are not integer multiples of π and find any complex eigenvalues that the corresponding matrices have. Make a conjecture relating the eigenvalues you find to the angles chosen.

• Assignment 6 due Saturday, December 13 by 12:30 pm (lunchtime). Review Problems

• Final Exam Monday, December 15 1:00 pm.