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| 1 : | jjholt | 101 | ## DESCRIPTION |
| 2 : | ## Matrix Algebra | ||
| 3 : | ## ENDDESCRIPTION | ||
| 4 : | |||
| 5 : | ## KEYWORDS('Algebra' 'Matrix' 'Matrices') | ||
| 6 : | ## Tagged by tda2d | ||
| 7 : | |||
| 8 : | ## DBsubject('Algebra') | ||
| 9 : | jjholt | 483 | ## DBchapter('Systems of Equations and Inequalities') |
| 10 : | ## DBsection('The Algebra of Matrices') | ||
| 11 : | jjholt | 101 | ## Date('') |
| 12 : | ## Author('') | ||
| 13 : | ## Institution('ASU') | ||
| 14 : | ## TitleText1('') | ||
| 15 : | ## EditionText1('') | ||
| 16 : | ## AuthorText1('') | ||
| 17 : | ## Section1('') | ||
| 18 : | ## Problem1('') | ||
| 19 : | |||
| 20 : | jj | 61 | DOCUMENT() ; |
| 21 : | |||
| 22 : | loadMacros( | ||
| 23 : | "PGasu.pl", | ||
| 24 : | "PG.pl", | ||
| 25 : | "PGbasicmacros.pl", | ||
| 26 : | "PGchoicemacros.pl", | ||
| 27 : | "PGanswermacros.pl", | ||
| 28 : | "PGauxiliaryFunctions.pl", | ||
| 29 : | "PGdiffeqmacros.pl", | ||
| 30 : | "PGmatrixmacros.pl" | ||
| 31 : | ) ; | ||
| 32 : | ############ | ||
| 33 : | |||
| 34 : | gage | 268 | TEXT(beginproblem()); |
| 35 : | jj | 61 | |
| 36 : | |||
| 37 : | foreach $i (0..2) { | ||
| 38 : | |||
| 39 : | foreach $j (0..2) { | ||
| 40 : | $a[$i][$j] = random(-4,4,1); | ||
| 41 : | $b[$i][$j] = random(-4,4,1); | ||
| 42 : | } | ||
| 43 : | } | ||
| 44 : | |||
| 45 : | |||
| 46 : | $showPartialCorrectAnswers = 1 ; | ||
| 47 : | |||
| 48 : | BEGIN_TEXT | ||
| 49 : | |||
| 50 : | If | ||
| 51 : | \[ A = \left[\begin{array}{ccc} | ||
| 52 : | \{join("& ",@{$a[0]}[0..$#{$a[0]}])\} \cr | ||
| 53 : | \{join("& ",@{$a[1]}[0..$#{$a[1]}])\} \cr | ||
| 54 : | \{join("& ",@{$a[2]}[0..$#{$a[2]}])\} \cr | ||
| 55 : | \end{array}\right] | ||
| 56 : | \mbox{ \ \ and \ \ \ } | ||
| 57 : | B = \left[\begin{array}{ccc} | ||
| 58 : | \{join("& ",@{$b[0]}[0..$#{$b[0]}])\} \cr | ||
| 59 : | \{join("& ",@{$b[1]}[0..$#{$b[1]}])\} \cr | ||
| 60 : | \{join("& ",@{$b[2]}[0..$#{$b[2]}])\} \cr | ||
| 61 : | \end{array}\right], | ||
| 62 : | \] | ||
| 63 : | |||
| 64 : | then | ||
| 65 : | |||
| 66 : | $BCENTER | ||
| 67 : | \{ mbox( | ||
| 68 : | '\( 3A-B = \)', | ||
| 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 : | END_TEXT | ||
| 76 : | foreach $i (0..2) { | ||
| 77 : | |||
| 78 : | foreach $j (0..2) { | ||
| 79 : | ANS(num_cmp(3*$a[$i][$j] -$b[$i][$j]) ); | ||
| 80 : | } | ||
| 81 : | } | ||
| 82 : | |||
| 83 : | |||
| 84 : | |||
| 85 : | ENDDOCUMENT() ; | ||
| 86 : |
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