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Merge pull request #1067 from gajennings/main
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  • OpenProblemLibrary/WHFreeman/Holt_linear_algebra/Chaps_1-4

OpenProblemLibrary/WHFreeman/Holt_linear_algebra/Chaps_1-4/3.5.36.pg

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Original file line numberDiff line numberDiff line change
@@ -24,7 +24,7 @@ DOCUMENT();
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loadMacros(
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"PGstandard.pl",
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"MathObjects.pl",
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"parserPopUp.pl",
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"parserRadioButtons.pl",
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"parserMultiAnswer.pl",
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"PGmatrixmacros.pl",
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"PGcourse.pl"
@@ -44,7 +44,7 @@ $showPartialCorrectAnswers = 1;
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Context("Matrix");
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Context()->variables->are(a=>"Real",b=>"Real");
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$tf = PopUp(['???','True','False'],'True');
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$tf = RadioButtons(['True','False'],'True', separator => $SPACE x 4 );
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$A = Matrix([[Formula("a"),Formula("1-b")],[Formula("1-a"),Formula("b")]]);
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@@ -76,7 +76,8 @@ Every 2x2 stochastic matrix \(A\) has the form
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\[A = $A\] $BR
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where \(0\leq a\leq 1\) and \(0\leq b \leq 1\).
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$PAR
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1) \{$tf->menu()\} True or False: Every 2×2 stochastic matrix has at least one steady-state vector.$PAR
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1) True or False? Every 2×2 stochastic matrix has at least one steady-state vector.$BR
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$SPACE$SPACE$SPACE$SPACE \{$tf->buttons\}$PAR
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2) Assume \(A\neq \begin{bmatrix}1 & 0 \\ 0 & 1\end{bmatrix} \). If \(A\) has a steady-state vector enter it here. If it has no steady-state matrix enter the zero vector.
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$BR

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