MATH 254 HW 5 - MATH 254 FALL 2009 HOMEWORK 5 DUE THURSDAY...

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MATH 254, F ALL 2009 H OMEWORK 5 D UE T HURSDAY , O CTOBER 8 TH This assignment is due at the beginning of class, Thursday, 10/08/09. You must bring a copy to class—it can be typed or neatly hand-written. If necessary, add illustrations by hand or with computer graphics. Late homework is not accepted. Read the directions carefully. For every question that asks you to “justify your answer,” a simple calculation or response without explanation is not sufficient. Make your arguments understandable and convincing. B OOK P ROBLEMS #1-2 : section 1.5: # 30 and 32 say why you chose your answer—not just “yes” or “no” #3-7 : section 1.7: #6, 8, 28, 30, 40 #23-26 are also very good practice #30 and #40: expect to need 2-3 sentences per justification. #8-13: section 1.8: #2, 4, 6, 8, 10, 12 O THER P ROBLEMS 14. Recall the following theorem, labeled “New Theorem” in class: Suppose A is an n x n matrix. The following are equivalent: 1. The columns of A span R n .
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