View of /trunk/NationalProblemLibrary/ASU-topics/set119MatrixAlgebra/p32.pg

    1 ## DESCRIPTION
    2 ## Matrix Algebra
    3 ## ENDDESCRIPTION
    4 
    5 ## KEYWORDS('Algebra' 'Matrix' 'Matrices' 'True' 'False')
    6 ## Tagged by tda2d
    7 
    8 ## DBsubject('Algebra')
    9 ## DBchapter('Linear Algebra')
   10 ## DBsection('Matrix Algebra')
   11 ## Date('')
   12 ## Author('')
   13 ## Institution('ASU')
   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 "PGauxiliaryFunctions.pl",
   28 "PGmatrixmacros.pl",
   29 "PGasu.pl",
   30 );
   31 
   32 TEXT(&beginproblem);
   33 $showPartialCorrectAnswers = 1;
   34 
   35 $m = random(2,5);
   36 
   37 do {$n = random(2,9);} until ($n != $m);
   38 do {$r = random(2,9);} until ($r != $m & $r != $n);
   39 
   40 
   41 
   42 BEGIN_TEXT
   43 If A is \( $m \times $n, \)  B is \( $r \times $m \) and C is \( $n \times $r \) then:
   44 $BR
   45 a) BA has dimension $SPACE  \{ans_rule(8)\} \( \times \)  \{ans_rule(8)\}
   46 $BR
   47 b) CB has dimension $SPACE  \{ans_rule(8)\} \( \times \)  \{ans_rule(8)\}
   48 $BR
   49 c) AC has dimension $SPACE  \{ans_rule(8)\} \( \times \)  \{ans_rule(8)\}
   50 
   51 END_TEXT
   52 
   53 ANS(num_cmp($r));  ANS(num_cmp($n));
   54 ANS(num_cmp($n));  ANS(num_cmp($m));
   55 ANS(num_cmp($m));   ANS(num_cmp($r));
   56 
   57 ENDDOCUMENT();       # This should be the last executable line in the problem.