Difference between revisions of "RowOperations1"
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Paultpearson (talk | contribs) (New row operations question) |
(add historical tag and give links to newer problems.) |
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| + | {{historical}} |
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| + | <p style="font-size: 120%;font-weight:bold">This problem has been replaced with [https://openwebwork.github.io/pg-docs/sample-problems/LinearAlgebra/RowOperations.html a newer version of this problem]</p> |
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<h2>Row Operations</h2> |
<h2>Row Operations</h2> |
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</p> |
</p> |
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* File location in OPL: [https://github.com/openwebwork/webwork-open-problem-library/blob/master/OpenProblemLibrary/FortLewis/Authoring/Templates/LinAlg/RowOperations1.pg FortLewis/Authoring/Templates/LinAlg/RowOperations1.pg] |
* File location in OPL: [https://github.com/openwebwork/webwork-open-problem-library/blob/master/OpenProblemLibrary/FortLewis/Authoring/Templates/LinAlg/RowOperations1.pg FortLewis/Authoring/Templates/LinAlg/RowOperations1.pg] |
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| + | * PGML location in OPL: [https://github.com/openwebwork/webwork-open-problem-library/blob/master/OpenProblemLibrary/FortLewis/Authoring/Templates/LinAlg/RowOperations1_PGML.pg FortLewis/Authoring/Templates/LinAlg/RowOperations1_PGML.pg] |
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<br clear="all" /> |
<br clear="all" /> |
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$A = Matrix([ |
$A = Matrix([ |
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| − | [ |
+ | [non_zero_random(-5,5,1),non_zero_random(-5,5,1)], |
| − | [ |
+ | [non_zero_random(-5,5,1),non_zero_random(-5,5,1)], |
| − | [ |
+ | [non_zero_random(-5,5,1),non_zero_random(-5,5,1)], |
]); |
]); |
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<p> |
<p> |
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<b>Setup:</b> |
<b>Setup:</b> |
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| + | Construct a matrix with three distinct rows. |
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| + | Create a string <code>$op</code> of Tex code that describes the row operation. |
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| + | Use <code>$A->row(i)</code> to extract the ith row of the matrix A as a MathObject. |
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| + | Use <code>$A->row(1) + $k*($A->row(2))</code> to perform the row operation and place it into the first row of the answer matrix. |
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</p> |
</p> |
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</td> |
</td> |
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$BR |
$BR |
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$BR |
$BR |
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| − | \( $A \mathop{\longrightarrow}^{$op} \) |
+ | \( $A {\displaystyle\mathop{\longrightarrow}^{$op}} \) |
\{ $answer->ans_array \} |
\{ $answer->ans_array \} |
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END_TEXT |
END_TEXT |
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Latest revision as of 05:26, 18 July 2023
This problem has been replaced with a newer version of this problem
Row Operations
This PG code shows how to ask students to compute the result of elementary row operations.
- File location in OPL: FortLewis/Authoring/Templates/LinAlg/RowOperations1.pg
- PGML location in OPL: FortLewis/Authoring/Templates/LinAlg/RowOperations1_PGML.pg
| PG problem file | Explanation |
|---|---|
|
Problem tagging: |
|
DOCUMENT(); loadMacros( "PGstandard.pl", "MathObjects.pl", "PGcourse.pl", ); $showPartialCorrectAnswers = 0; TEXT(beginproblem()); |
Initialization: |
Context('Matrix');
do {
$A = Matrix([
[non_zero_random(-5,5,1),non_zero_random(-5,5,1)],
[non_zero_random(-5,5,1),non_zero_random(-5,5,1)],
[non_zero_random(-5,5,1),non_zero_random(-5,5,1)],
]);
} until (($A->row(1) != $A->row(2)) &&
($A->row(1) != $A->row(3)) &&
($A->row(2) != $A->row(3)));
$k = random(2,9,1);
$op = "R_{1} + $k R_{2} \rightarrow R_{1}";
$answer = Matrix([
$A->row(1) + $k*($A->row(2)),
$A->row(2),
$A->row(3),
]);
|
Setup:
Construct a matrix with three distinct rows.
Create a string |
Context()->texStrings;
BEGIN_TEXT
Give the result of applying the row operation \( $op \) to the given matrix.
$BR
$BR
\( $A {\displaystyle\mathop{\longrightarrow}^{$op}} \)
\{ $answer->ans_array \}
END_TEXT
Context()->normalStrings;
|
Main Text: |
ANS( $answer->cmp() );
COMMENT('MathObject version.');
ENDDOCUMENT();
|
Answer Evaluation: |
