# 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: CombinationCalculatorsEigenvaluesBonus ProblemPartial CreditDiagonalizableUpper TriangularValue ProblemDiagonal MatrixInitial Value      ## 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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