## DESCRIPTION ## Matrix Algebra ## ENDDESCRIPTION ## KEYWORDS('Algebra' 'Matrix' 'Matrices' 'True' 'False') ## Tagged by tda2d ## DBsubject('Algebra') ## DBchapter('Linear Algebra') ## DBsection('Matrix Algebra') ## Date('') ## Author('') ## Institution('ASU') ## TitleText1('') ## EditionText1('') ## AuthorText1('') ## Section1('') ## Problem1('') DOCUMENT(); # This should be the first executable line in the problem. loadMacros( "PG.pl", "PGbasicmacros.pl", "PGchoicemacros.pl", "PGanswermacros.pl", "PGauxiliaryFunctions.pl", "PGmatrixmacros.pl", "PGasu.pl", ); TEXT(&beginproblem); $showPartialCorrectAnswers = 1;$m = random(2,5); do {$n = random(2,9);} until ($n != $m); do {$r = random(2,9);} until ($r !=$m & $r !=$n); BEGIN_TEXT If A is $$m \times n,$$ B is $$r \times m$$ and C is $$n \times r$$ then: $BR a) BA has dimension$SPACE \{ans_rule(8)\} $$\times$$ \{ans_rule(8)\} $BR b) CB has dimension$SPACE \{ans_rule(8)\} $$\times$$ \{ans_rule(8)\} $BR c) AC has dimension$SPACE \{ans_rule(8)\} $$\times$$ \{ans_rule(8)\} END_TEXT ANS(num_cmp($r)); ANS(num_cmp($n)); ANS(num_cmp($n)); ANS(num_cmp($m)); ANS(num_cmp($m)); ANS(num_cmp($r)); ENDDOCUMENT(); # This should be the last executable line in the problem.