Math 214 Assignment for Unit 6
Due: In class Wednesday Match 4, 2015
Your report should include your work for each of these problems.
Part 6a: Null Space, Column Space
page 140 (section 3.2): # 15, 17, 18, 22, 26.
Comments: # 26: Write the condition for a vector n to be in N(A).
Then for n to be in C(A). Now use #23a from section 2.4.
Part 6b: Rank and rref (row reduced echelon form)
page 151 (section 3.3): # 2, 3, 8, 9, 10, 20(1st sentence only).
Comments: # 20: Use the results from 17 and 18. Don't bother with
the second sentence. The 1st gives the result stated in the 3rd sentence.
Part 6c: Complete Solution to Ax=b
page 163 (section 3.4): # 15, 17, 19, 21, 22, 23, 25, 29, 31, 33.
Comment: # 22: note that B is a vector like b--they just needed another letter.
# 25: answers in back--so explain why the answer is true.
There are lots of problems to do here. But each should not take too long.
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?