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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:Spring 2008
Keywords:
  • Combination
  • Calculators
  • Eigenvalues
  • Bonus Problem
  • Partial Credit
  • Diagonalizable
  • Upper Triangular
  • Value Problem
  • Diagonal Matrix
  • Initial Value
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Sample Document Text

Lance L. Littlejohn MATH 2311 MIDTERM #3 SP RING SEMESTER 2008 Name SO LL(110NS Instructions: Show ALL work. Partial credit can only be given if sufficient work ac companies each answer. NO CALCULATORS. This examination is out of 50 points. GOOD LUCK! Problem No. Point.s 1. 2. 3. 4. 5. 6. 7. (optional) Grade /50 1. (6 POints) Let W = (p E P, I p'(O) = p"(O)); here P, is the vector space of all polynomials of degree ::; 4. Find a basis for W. What is dim(W)? ltt "\)() ,, Q,,'t+ b )(3 ... C X:+&"'l<.+e... "0 'j"'( ..... )-=. '"' <>''1(3+ 3 \:,'': +'2.CX-l-d. . " :p'l(",):. \Lo.",:'.-+~b><.+"1c Ittm..- ? "- W i r "",01 (M(~ it \,'(0) :' 1'"(0) (el ~ \~ w-h.."." 0\:= <. c- ~ 0 ~ k) ::::. 0.)<,';-.,. b "':"\ c.)(. 'l-+ '2 c" + e.. IE. 'vJ -::. eJ.:,(lI--\-b)l..'3 of d)<.'l-+ L)<')+ e... E ""~ C>m ~ 'l<. *;><,~) 'X.'-" '2.'1<) i 1 A. \,,,,:.,!:-~ .. r \N "$ i ,)<'t) v.?) ;-+L'I-) I}. . 2. Let W = {(a + 6b + 8e,2a - 2b+ 2e,-3a+ 5b - e, - a+ b - c) I a,b,e ...

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