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# Section 1: Straightforward Questions (80 + 10) pts
*Unless told otherwise, you must show work to get credit. There will be less partial credit given in this section. There are 90 points available, but we consider 10 of them as bonus. So skip ahead instead of getting stuck.*
# 3. Matching Question (9 pts)
Consider the 2-dimensional differential equation
[https://drive.google.com/open?id=0ByJJoFjQNbyRX2ltTG5VR01nRE0]
where A is a 2 by 2 real matrix.
With some initial values, solutions as a function of time have been plotted. **Please select the corresponding solution plot for each A matrix.** (No need to show work)
[https://drive.google.com/open?id=0ByJJoFjQNbyRMGw3WnZWdGpESWs]
(a) [https://drive.google.com/open?id=0ByJJoFjQNbyRWlVEVUJLSF9vdWs] This has eigenvalues -4, -2.
(b) [https://drive.google.com/open?id=0ByJJoFjQNbyRQVFTTEl1US14SzQ] This has eigenvalues 0.15 ± i.
(c) [https://drive.google.com/open?id=0ByJJoFjQNbyRRGl2cjJxeDJHU1U] This has eigenvalues ±3.
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