RowOperations1

Row Operations

Click to enlarge

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

Templates by Subject Area

PG problem file	Explanation
Problem tagging data	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 $op of Tex code that describes the row operation. Use $A->row(i) to extract the ith row of the matrix A as a MathObject. Use $A->row(1) + $k*($A->row(2)) to perform the row operation and place it into the first row of the answer matrix.
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:

Templates by Subject Area