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Wed Feb 22 20:38:15 2006 UTC (7 years, 3 months ago) by jjholt
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--JH


    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 DOCUMENT() ;
21
23 "PGasu.pl",
24 "PG.pl",
25 "PGbasicmacros.pl",
26 "PGchoicemacros.pl",
28 "PGauxiliaryFunctions.pl",
29 "PGdiffeqmacros.pl",
31 ) ;
32 ############
33
34 TEXT(&beginproblem);
35 $showPartialCorrectAnswers = 1 ; 36 37$alpha = non_zero_random(-6,6);
38 $a = non_zero_random(-6,6); 39$gamma = random(-6,6);
40
41 $b11 = random(-3,3); 42$b12 = random(-3,3);
43 $b22 = random(-3,3); 44$b21 = ($alpha -1)*($b22+2*$b12)-$alpha*$gamma-2*$b11;
45
46 $c13 =$alpha -1;
47 $na = -$a;
48 if ($gamma != 0) {$ngamma = -$gamma;} 49 else {$ngamma = $gamma;} 50 51 BEGIN_TEXT 52 Determine the value(s) of $$x$$ such that 53 $54 \left[ \begin{array}{ccc} 55 x & 2 & 1 56 \end{array}\right] 57 \left[ \begin{array}{ccc} 58 a & ngamma & na \\ 59 ngamma & b11 & b12 \\ 60 na & b21 & b22 61 \end{array} \right] 62 \left[ \begin{array}{c} 63 x \\ 64 -1 \\ 65 c13 66 \end{array}\right] = 0 67$ 68 69$BR
70 $$x$$ = \{ ans_rule(30) \}
71 $BR 72$BBOLD Note: $EBOLD 73 If there is more than one value write them separated by commas. 74$BR
75
76 END_TEXT
77
78
79 $x1=$gamma/$a; 80$x2=$alpha; 81 ANS(number_list_cmp("$x1,\$x2"));
82
83
84 ENDDOCUMENT() ;