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

Wed Feb 22 20:38:15 2006 UTC (7 years, 3 months ago) by jjholt
File size: 1285 byte(s)
Tags as of Feb 22, 2006.
--JH


    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
23 "PG.pl",
24 "PGbasicmacros.pl",
25 "PGchoicemacros.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.