MatrixAnswer2

Matrix Answer 2

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This PG code shows how to collect matrix answers using one textbox for the entire matrix a student enters.

• File location in OPL: FortLewis/Authoring/Templates/LinAlg/MatrixAnswer2.pg
• PGML location in OPL: FortLewis/Authoring/Templates/LinAlg/MatrixAnswer2_PGML.pg

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PG problem file	Explanation
Problem tagging data	Problem tagging:
DOCUMENT(); loadMacros( "PGstandard.pl", "MathObjects.pl", "PGcourse.pl", ); TEXT(beginproblem());	Initialization:
Context('Matrix'); $example1 = Matrix([[1,2,3],[4,5,6]]); $example2 = $example1->column(1); $example3 = $example1->row(1);	Setup 1: We construct a 2 by 3 matrix and extract its first column and first row.
Context()->texStrings; BEGIN_TEXT The purpose of this question is to show you the syntax needed to enter matrices in WeBWorK when there is only one answer box for entering a matrix (which is not obvious) or when there are multiple answer boxes for entering a matrix (which is obvious). The examples below should be self-explanatory, so you can jump to them if you want; however, a detailed explanation follows if you want to read more. $BR $BR Matrices use square brackets to enclose items in lists. A matrix with one row, such as a row vector, is a comma separated list enclosed by square brackets. A matrix with more than one row or a column vector is a comma separated list of lists, where each list uses square brackets to enclose its items. Your answers must use square brackets to enclose each row in a matrix or in a column vector. Also, a pair of square brackets is needed to enclose a matrix with more than one row (e.g., a \( 2 \times 3 \) matrix and a \( 2 \times 1 \) column vector have multiple rows so they need extra square brackets, but a \( 1 \times 3 \) row vector has only one row so it does not need extra square brackets). Your answers may have spaces and line breaks in them, such as $PAR $BCENTER [ [1, 2, 3], $BR [4, 5, 6] ] $ECENTER $BR $BR Enter the matrix \( $example1 \) as \{ $example1->string \} $BR \{ ans_box(3,30) \} $BR $BR Enter the column vector \( $example2 \) as \{ $example2->string \} $BR \{ ans_box(3,30) \} $BR $BR Enter the row vector \( $example3 \) as \{ $example3->string \} $BR \{ ans_box(3,30) \} END_TEXT Context()->normalStrings;	Main Text 1: Use $matrix->string to get the string representation of the matrix (i.e., the string answer the student needs to type in) and ans_box(rows,cols) to create a re-sizable text box for the student to enter their answer.
$showPartialCorrectAnswers = 1; ANS( $example1->cmp() ); ANS( $example2->cmp() ); ANS( $example3->cmp() );	Answer Evaluation 1:
Context('Matrix'); $example1 = Matrix([[1,2,3],[4,5,6]]);	Setup 2: Reset the context by calling Context('Matrix'); because the matrix answer checker gets confused when the ans_box and ans_array methods are co-mingled.
Context()->texStrings; BEGIN_TEXT $BR $BR Entering a matrix using multiple answer blanks is straightforward -- just put each matrix entry into its own answer blank. $BR Enter the matrix \( $example1 \) with one matrix entry per answer box. $BR \{ $example1->ans_array \} END_TEXT Context()->normalStrings;	Main Text 2:
ANS( $example1->cmp() ); COMMENT('MathObject version.'); ENDDOCUMENT();	Answer Evaluation 2:

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