01spr-m1 - EXAM I Math 51 Spring 2001 You have 2 hours No...

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EXAM I Math 51, Spring 2001. You have 2 hours. No notes, no books. YOU MUST SHOW ALL WORK TO RECEIVE CREDIT Good luck! Name ID number 1. (/20 points) 2. (/20 points) 3. (/20 points) 4. (/20 points) 5. (/20 points) Bonus (/10 points) Total (/100 points) “On my honor, I have neither given nor received any aid on this examination. I have furthermore abided by all other aspects of the honor code with respect to this examination.” Signature: Circle your TA’s name: Kuan Ju Liu (2 and 6) Robert Sussland (3 and 7) Hunter Tart (4 and 8) Alex Meadows (10) Dana Rowland (11) Circle your section meeting time: 11:00am 1:15pm 7pm 1
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1. (a) Define what it means for a set of vectors { -→ v 1 ,..., -→ v k } to be “linearly dependent”. (b) Find a linear dependence of the three vectors below, or prove that they are indepen- dent. 1 2 4 , 0 2 1 , - 2 5 7 2
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R 2 must be dependent. 3
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01spr-m1 - EXAM I Math 51 Spring 2001 You have 2 hours No...

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