Exam Information
Material Type:  MidTerm 
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.CXld.
.
" :p'l(",):. \Lo.",:'.+~b><.+"1c
Ittm.. ? " W i r "",01 (M(~ it \,'(0) :' 1'"(0)
(el ~ \~ wh.."." 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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