RowOperations1
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
| PG problem file | Explanation |
|---|---|
|
Problem tagging: |
|
DOCUMENT(); loadMacros( "PGstandard.pl", "MathObjects.pl", "PGcourse.pl", ); $showPartialCorrectAnswers = 0; TEXT(beginproblem()); |
Initialization: |
Context('Matrix');
do {
$A = Matrix([
[non_zero_random(-5,5,1),non_zero_random(-5,5,1),non_zero_random(-5,5,1),non_zero_random(-5,5,1)],
[non_zero_random(-5,5,1),non_zero_random(-5,5,1),non_zero_random(-5,5,1),non_zero_random(-5,5,1)],
[non_zero_random(-5,5,1),non_zero_random(-5,5,1),non_zero_random(-5,5,1),non_zero_random(-5,5,1)],
]);
} until (($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: |
Context()->texStrings;
BEGIN_TEXT
Give the result of applying the row operation \( $op \) to the given matrix.
$BR
$BR
\( $A \mathop{\longrightarrow}^{$op} \)
\{ $answer->ans_array \}
END_TEXT
Context()->normalStrings;
|
Main Text: |
ANS( $answer->cmp() );
COMMENT('MathObject version.');
ENDDOCUMENT();
|
Answer Evaluation: |
