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

 1 : jjholt 101 ## DESCRIPTION 2 : ## Matrix Algebra 3 : ## ENDDESCRIPTION 4 : jj 61 5 : jjholt 101 ## 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 : jj 61 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.