View of /branches/UGA/4.3.5.pg

    1 ## DESCRIPTION
    2 ## Linear Algebra
    3 ## ENDDESCRIPTION
    4 
    5 ## KEYWORDS('bases' 'basis' 'matrix' 'linearly independent')
    6 ## Tagged by tda2d
    7 
    8 ## DBsubject('Linear Algebra')
    9 ## DBchapter('Vector Spaces')
   10 ## DBsection('Bases')
   11 ## Date('')
   12 ## Author('modified by Shifrin')
   13 ## Institution('TCNJ')
   14 ## TitleText1('')
   15 ## EditionText1('')
   16 ## AuthorText1('')
   17 ## Section1('')
   18 ## Problem1('')
   19 
   20 DOCUMENT();        # This should be the first executable line in the problem.
   21 
   22 loadMacros(
   23 "PG.pl",
   24 "PGbasicmacros.pl",
   25 "PGchoicemacros.pl",
   26 "PGanswermacros.pl",
   27 "PGgraphmacros.pl",
   28 "PGmatrixmacros.pl",
   29 "PGnumericalmacros.pl",
   30 "PGauxiliaryFunctions.pl",
   31 "PGmorematrixmacros.pl",
   32 "MathObjects.pl"
   33 );
   34 
   35 TEXT(beginproblem());
   36 $showPartialCorrectAnswers = 1;
   37 
   38 Context("Vector");
   39 
   40 $x = ColumnVector(-2,3,0);
   41 $y = ColumnVector(6,-1,5);
   42 
   43 # Make a new checkbox multiple choice
   44 $cmc1 = new_checkbox_multiple_choice();
   45 # $cmc now "contains" the checkbox multiple choice object.
   46 
   47 # Insert some  questions and matching answers in the q/a list
   48 $cmc1 -> qa (
   49              "Determine if \(W\) is a basis for \( {\mathbb R}^3\) and check the correct answer(s) below.",
   50         " \(W\) is not a basis because it does not span \( {\mathbb R}^3\).",
   51 );
   52 
   53 # Insert some incorrect answers
   54 $cmc1 -> extra(
   55         " \(W\) is a basis.",
   56         " \(W\) is not a basis because it is linearly dependent.",
   57 );
   58 
   59 Context()->texStrings;
   60 BEGIN_TEXT
   61 
   62 Let \(W\) be the set \(\left\{"\{"\} $x, $y \right\} \).
   63 $PAR
   64 \{$cmc1 -> print_q \}
   65 $BR
   66 \{$cmc1 -> print_a \}
   67 
   68 END_TEXT
   69 
   70 ANS(checkbox_cmp( $cmc1->correct_ans )   ) ;
   71 
   72 ENDDOCUMENT();       # This should be the last executable line in the problem.