View of /trunk/NationalProblemLibrary/ASU-topics/set119MatrixAlgebra/p9.pg

    1 ## DESCRIPTION
    2 ## Matrix Algebra
    3 ## ENDDESCRIPTION
    4 
    5 ## KEYWORDS('Algebra' 'Matrix' 'Matrices')
    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 
   21 DOCUMENT() ;
   22 
   23 loadMacros(
   24 "PGasu.pl",
   25 "PG.pl",
   26 "PGbasicmacros.pl",
   27 "PGchoicemacros.pl",
   28 "PGanswermacros.pl",
   29 "PGauxiliaryFunctions.pl",
   30 "PGdiffeqmacros.pl",
   31 "PGmatrixmacros.pl"
   32 ) ;
   33 ############
   34 
   35 TEXT(beginproblem());
   36 
   37 
   38 foreach $i (0..2) {
   39 
   40    foreach $j (0..2) {
   41       $a->[$i][$j] = random(-4,4,1);
   42     }
   43 }
   44 
   45 
   46 $showPartialCorrectAnswers = 1 ;
   47 
   48 BEGIN_TEXT
   49 
   50 If
   51 \[ A = \{display_matrix_mm( $a, align=>'rrr' ) \} \]
   52 
   53 and \( I\) is the \( 3 \times 3 \) identity matrix, then
   54 
   55 $BCENTER
   56 \{ mbox(
   57 '\( A I = \)',
   58 display_matrix([[ans_rule(5),ans_rule(5),ans_rule(5)],
   59 [ans_rule(5),ans_rule(5),ans_rule(5)],
   60 [ans_rule(5),ans_rule(5),ans_rule(5)]],
   61 'align'=>"ccc"))
   62 \}
   63 $ECENTER
   64 and
   65 
   66 $BCENTER
   67 \{ mbox(
   68 '\( I A = \)',
   69 display_matrix([[ans_rule(5),ans_rule(5),ans_rule(5)],
   70 [ans_rule(5),ans_rule(5),ans_rule(5)],
   71 [ans_rule(5),ans_rule(5),ans_rule(5)]],
   72 'align'=>"ccc"))
   73 \}
   74 $ECENTER
   75 
   76 END_TEXT
   77 foreach $i (0..2) {
   78    foreach $j (0..2) {
   79       ANS(num_cmp($a->[$i][$j]));
   80     }
   81 }
   82 foreach $i (0..2) {
   83    foreach $j (0..2) {
   84       ANS(num_cmp($a->[$i][$j]));
   85     }
   86 }
   87 
   88 
   89 
   90 
   91 ENDDOCUMENT() ;
   92