MatrixAnswer1: Difference between revisions

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<h2>Answer is a Matrix</h2>
<h2>Answer is a Matrix 1</h2>


[[File:MatrixAnswer1.png|300px|thumb|right|Click to enlarge]]
[[File:MatrixAnswer1.png|300px|thumb|right|Click to enlarge]]
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]);
]);


$B = Matrix([
$B = Matrix([random(-5,5,1),random(-5,5,1),random(-5,5,1)]);
[random(-5,5,1),random(-5,5,1),random(-5,5,1)],
[random(-5,5,1),random(-5,5,1),random(-5,5,1)],
]);


$answer = $A * ($B->transpose);
$answer = $A * ($B->transpose);
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<p>
<p>
<b>Setup:</b>  
<b>Setup:</b>  
The MathObject matrices are constructed using the <code>Matrix()</code> constructor.
The matrix A has two rows and three columns, and is constructed by <code>[ [row 1 entries], [row 2 entries] ]</code>, and this construction generalizes in the obvious way.
If a matrix has only one row, such as B, then it is entered as <code>[row 1 entries]</code> and <b>not</b> as <code>[[row 1 entries]]</code>.
If <code>$B = Matrix([a,b,c]);</code>, then the matrix <code>$B->transpose</code> is equivalent to <code>Matrix([[a],[b],[c]]);</code> which has an outer pair of brackets enclosing all of the rows, where each row encloses its single element with brackets.
</p>
</p>
</td>
</td>

Revision as of 00:34, 29 June 2014

Answer is a Matrix 1

Click to enlarge

This PG code shows how to evaluate answers that are matrices.


Templates by Subject Area

PG problem file Explanation

Problem tagging data

Problem tagging: 

DOCUMENT();

loadMacros(
"PGstandard.pl",
"MathObjects.pl",
"AnswerFormatHelp.pl",
);

TEXT(beginproblem());

Initialization: 

Context("Matrix");

$A = Matrix([
[random(-5,5,1),random(-5,5,1),random(-5,5,1)],
[random(-5,5,1),random(-5,5,1),random(-5,5,1)],
]);

$B = Matrix([random(-5,5,1),random(-5,5,1),random(-5,5,1)]);

$answer = $A * ($B->transpose);

Setup: The MathObject matrices are constructed using the Matrix() constructor. The matrix A has two rows and three columns, and is constructed by [ [row 1 entries], [row 2 entries] ], and this construction generalizes in the obvious way. If a matrix has only one row, such as B, then it is entered as [row 1 entries] and not as row 1 entries. If $B = Matrix([a,b,c]);, then the matrix $B->transpose is equivalent to Matrix([[a],[b],[c]]); which has an outer pair of brackets enclosing all of the rows, where each row encloses its single element with brackets. 

Context()->texStrings;
BEGIN_TEXT
Suppose
\[
A = $A 
\ \ \mbox{and} \ \
B = $B.
\]
Evaluate the following matrix product.
$BR
$BR
\( A B^T = \)
\{ $answer->ans_array(5) \}
\{ AnswerFormatHelp("matrices") \}
END_TEXT
Context()->normalStrings;

Main Text: Use the ->ans_array(width) method on the MathObject matrix $answer to produce an array of answer boxes each with a specified character width. 

$showPartialCorrectAnswers = 1;

ANS( $answer->cmp() );

Answer Evaluation: Use standard MathObject answer evaluation. 

Context()->texStrings;
BEGIN_SOLUTION
${PAR}SOLUTION:${PAR}
Solution explanation goes here.
END_SOLUTION
Context()->normalStrings;

COMMENT('MathObject version.');

ENDDOCUMENT();

Solution:

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