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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:Fall 2007
Keywords:
  • Combination
  • The Independent
  • Calculators
  • Partial Credit
  • Linear Combination
  • Following Matrix
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Sample Document Text

MATH 2311 MIDTERM # 1 FALL SEMESTER 2 007 Lance L. Littlejohn Name __ =~~O~L~ur~~I~OllN~SL' ________ __ Instructions: Show all work. Partial credit can only be given if sufficient work accompa nies each answer. Calculators may be used but exact answers are required. This examination is out of 50 points. GOOD LUCK' Problem No. Points 1. 2. 3. 4. 5. 6. Grade /50 1. (5 P OINTS) Express (3, 1,2) as a linear combination of t he vectors (1, 0,0), (1 , 1, 0), and (1, 1, 1). (~ I 3 "~l+i?J 0 2- I I ---"r I 0 J 2 -~3+1<~ (I 0 0 2 -=) 01 0 -/ o 0 ;;L - - - 2. (9 POINTS) (a) ( 3 Points) Row reduce the following matrix A into row-reduced echelon form: -'2 o <9 c \ -\ 1 o 0 ( 2 4 -5 3) A = 3 6 -7 4 . 5 10 -11 6 -'2 2 -/ o -I o -I -1) -1 Q (b) (4 POINTS) Find a pammetric form of all solutions to the system - 0 - )(., to:, \, OI.~I " Aj,t : {f ........ 2x + 4y - 5z + 3t 3x+6y-7z+4t 5x + lOy - 11 z +...

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