Math 214 Assignment for Unit 5
Due: In class Wednesday February 25, 2015
Your report should include your work for each of these problems.
Part 5a: Vector Spaces
page 127 (section 3.1): # 4, 10, 15, 17, 25, 28.
Comment: # 10: Follow the instructions for Q9-18... Show whether x+y and cx are in the subset
for arbitrary vectors x, y, and scalar c. Often the hard part is writing x in an
arbitrary way.
# 10: (b1,b2,b3) is a 3x1 vector with entries b1, b2 and b3. (The bs are not vectors.)
# 10: To show it IS a subspace requires arbitrary x. To show it is NOT a subspace
requires only one example where either x+y or cx is not in the subset.
# 17, see section 2.5 #11.
Part 5b: Null Space of A
page 140 (section 3.2): # 1, 2, 3, 9, 13.
Executive Summary:
You are required to answer each question with complete sentences.
- What idea do you believe is the most important in each part and why?
- What troubles did you have with the assignment, if any?