## DESCRIPTION
## Matrix Algebra
## ENDDESCRIPTION

## KEYWORDS('Algebra' 'Matrix' 'Matrices' 'True' 'False')
## Tagged by tda2d

## DBsubject('Algebra')
## DBchapter('Systems of Equations and Inequalities')
## DBsection('The Algebra of Matrices')
## Date('')
## Author('')
## Institution('ASU')
## TitleText1('')
## EditionText1('')
## AuthorText1('')
## Section1('')
## Problem1('')

DOCUMENT();      
loadMacros("PGbasicmacros.pl",
           "PGchoicemacros.pl",
           "PGanswermacros.pl",

);
TEXT(beginproblem(), $BR,$BBOLD, "True False Problem", $EBOLD, $BR,$BR);
# Since this is a true questions, we do not usually wish to tell students which
# parts of the matching question have been answered correctly and which are
# incorrect.  That is too easy.  To accomplish this we set the following flag to
# zero.
$showPartialCorrectAnswers = 0;

# True false questions are a special case of a "select list"
# Make a new select list
$tf = new_select_list();
# $tf now "contains" the select list object.
# Insert some  questions and whether or not they are true.

$tf -> qa ( # each entry has to end with a comma
"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.",
"T",
"If A is a square matrix, then there exists a matrix B such that AB equals the identity matrix.",
"F",
"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.",
"T",
);   # every statement has to end with a semi-colon.

# Choose two of the question and answer pairs at random.
$tf ->choose(2);

# Now print the text using $ml->print_q for the questions
# and $ml->print_a to print the answers.

BEGIN_TEXT
$PAR

Enter T or F depending on whether the statement is true or false.
(You must enter T or F -- True and False will not work.)$BR

\{ $tf-> print_q \}

$PAR

END_TEXT

# Enter the correct answers to be checked against the answers to the students.

ANS(str_cmp( $tf->ra_correct_ans )   ) ;

ENDDOCUMENT();        # This should be the last executable