# Past Exam for MTH 2311 - Linear Algebra at Baylor (BU)

## Exam Information

 Material Type: Mid-Term Professor: Staff Class: MTH 2311 - Linear Algebra Subject: Mathematics University: Baylor University Term: Spring 2008 Keywords: CombinationThe IndependentNon-Trivial Linear CombinationParametric FormPartial CreditLinear CombinationFollowing Matrix      ## Sample Document Text

MATH 2311 MIDTERM # 1 SPRING SEMESTER 2008 Lance L. Littlejohn N~e __ ~S~O~L~U~TLIO~N~S~ ________ __ Instructions: Show all work. Partial credit can only be given if sufficient work accompa nies each answer. This examination is out of 50 points. GOOD LUCK! Problem No. Points I. 2 3. 4. 5. 6. Grade / 50 I. (6 POINTS) Determine if the vectors {(I, - 1, 1), (2, 1, 3) , (-1, 4,0)) arc linearly depen dent or linearly independent. If they are linearly dependent, find a specific non-trivial linear combination of them that is equal to the zero vector. cl,-+L~-O~O -d.+~+ IflS'~o oI.+-3{l = 0 J.. -I) Q .. ,~,-~\ .;>. 1 't -> 0 3 3 0 -~1"<;(3 0 1 'is;. 01. - :, "t ::: 0 ~+�_o -I) ;''K2 ( ;:). -\)-2~~"'~1~' 0 -3) :3 --> 0 \ I _? -~2 0 \ \ \ 0 \ I .. ''"3 0 0 0 (Nc-+e , d, ~.: \,~~.�.:-VO.k.,. '0=\ >cr oJ.~ 3 ~ p=-I 'tJi~ this cho \ee, 5(1,-1, 1)-('2,\,0+(-\,'t.o)~ (0,/),0). ~-------= _. ---- -~,-- 2. (a) ( 4 POINTS) P...

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