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| 1 : | jjholt | 101 | ## DESCRIPTION |
| 2 : | ## Matrix Algebra | ||
| 3 : | ## ENDDESCRIPTION | ||
| 4 : | |||
| 5 : | ## KEYWORDS('Algebra' 'Matrix' 'Matrices' 'True' 'False') | ||
| 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 : | loadMacros("PGbasicmacros.pl", | ||
| 22 : | "PGchoicemacros.pl", | ||
| 23 : | "PGanswermacros.pl", | ||
| 24 : | |||
| 25 : | ); | ||
| 26 : | TEXT(beginproblem(), $BR,$BBOLD, "True False Problem", $EBOLD, $BR,$BR); | ||
| 27 : | # Since this is a true questions, we do not usually wish to tell students which | ||
| 28 : | # parts of the matching question have been answered correctly and which are | ||
| 29 : | # incorrect. That is too easy. To accomplish this we set the following flag to | ||
| 30 : | # zero. | ||
| 31 : | $showPartialCorrectAnswers = 0; | ||
| 32 : | |||
| 33 : | # True false questions are a special case of a "select list" | ||
| 34 : | # Make a new select list | ||
| 35 : | $tf = new_select_list(); | ||
| 36 : | # $tf now "contains" the select list object. | ||
| 37 : | # Insert some questions and whether or not they are true. | ||
| 38 : | |||
| 39 : | $tf -> qa ( # each entry has to end with a comma | ||
| 40 : | "If A and B are both square matrices such that AB equals BA equals the identity matrix, then B is the inverse matrix of A.", | ||
| 41 : | "T", | ||
| 42 : | "If A is a square matrix, then there exists a matrix B such that AB equals the identity matrix.", | ||
| 43 : | "F", | ||
| 44 : | "If \( AX = B \) represents a system of linear equations and \( A^{-1} \) exists, then the product \( A^{-1}B \) gives the solution to the system.", | ||
| 45 : | "T", | ||
| 46 : | ); # every statement has to end with a semi-colon. | ||
| 47 : | |||
| 48 : | # Choose two of the question and answer pairs at random. | ||
| 49 : | $tf ->choose(2); | ||
| 50 : | |||
| 51 : | # Now print the text using $ml->print_q for the questions | ||
| 52 : | # and $ml->print_a to print the answers. | ||
| 53 : | |||
| 54 : | BEGIN_TEXT | ||
| 55 : | $PAR | ||
| 56 : | |||
| 57 : | Enter T or F depending on whether the statement is true or false. | ||
| 58 : | (You must enter T or F -- True and False will not work.)$BR | ||
| 59 : | |||
| 60 : | \{ $tf-> print_q \} | ||
| 61 : | |||
| 62 : | $PAR | ||
| 63 : | |||
| 64 : | END_TEXT | ||
| 65 : | |||
| 66 : | # Enter the correct answers to be checked against the answers to the students. | ||
| 67 : | |||
| 68 : | gage | 268 | ANS(str_cmp( $tf->ra_correct_ans ) ) ; |
| 69 : | jj | 61 | |
| 70 : | ENDDOCUMENT(); # This should be the last executable |
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