Math 214 Assignment for Unit 2
Due: In class Wednesday February 4, 2015
Your report should include your work for each of these problems.
Part 2a: Systems of Linear Equations
page 63 (section 2.3): # 3, 5, 9, 10, 12, 19, 26.
Comments: #19: Which rows are exchanged when P and Q left-multiply a matrix?
Thinking about this question may help with finding a row exchange matrix M.
Part 2b: Rules for Matrix Operations
page 75 (section 2.4): # 6, 9, 16, 18, 23, 32, 34.
Comments: #23: If your answer is not "simple" enough in part a) you
may have trouble with b). Use only zeros and ones for a).
Then interpret it as a row operation. It is copying zeros.
Now try b) using that idea. You will need 3 rows.
Part 2c: Matrix Inverses
page 89 (section 2.5): # 2, 7, 8.
Comments: #7 and 8: Definitions: Invertible means that a matrix has an inverse.
That is, it is not singular.
#7: It might be easier to do parts b) and c) before doing part a).
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?