A more thorough search through the Maple TA Online Help has shed some more light on this question. Including the command randomize(): in Maple-based variable definitions sets the initial state of the random number generator using a number based on the system clock instead of the default seed in Maple.

Thus, using

$graphdisplay=plotmaple("randomize():GraphTheory[DrawGraph](GraphTheory[RandomGraphs][RandomDigraph]($n,$m)),plotoptions='width=512,height=512'");

$ans=maple("randomize():GraphTheory[AdjacencyMatrix](GraphTheory[RandomGraphs][RandomDigraph]($n,$m))");

would result in the two different random digraphs (which I do not want in this particular case).

I have created a Maple-graded question that presents students with a random digraph (see $graphdisplay below) and asks for the corresponding adjacency matrix.

Algorithm

$n=range(3,5,1);

$m=range($n,$n*($n - 1)/2,1);

$graphdisplay=plotmaple("GraphTheory[DrawGraph](GraphTheory[RandomGraphs][RandomDigraph]($n,$m)),plotoptions='width=512,height=512'");

$ans=maple("GraphTheory[AdjacencyMatrix](GraphTheory[RandomGraphs][RandomDigraph]($n,$m))");

It seems to me that the random digraphs generated by these two commands should be different, yet they turn up the same and $ans gives the correct adjacency matrix every time. I thought I had made an error but the problem seems to function just fine with

Answer:  $ans

Grading Code: LinearAlgebra[Equal]($RESPONSE,$ans);

Could someone please explain what is going on? 

I have been looking in the Maple Cloud for questions in linear algebra and differential equations. I have found some, but I wonder if my search has missed some in cases where authors have not filled in enough details that would make their problems easier to find. If anyone knows of some Schools where I might find some question banks on these subjects, I would be grateful if you could point them out. 

Also, if you are an author of linear algebra or differential equations questions, please consider publishing them to the Maple Cloud and adding a few details that would make them more likely to be picked up in a search through the content repository. Thank you!

Thanks very much, @jmtrik . I thought that plotmaple() was only used for plots and did not know that it could be used more generally so I did not attempt to use it.

I am trying to display a graph (i.e., a set of vertices and edges) in a question using

$g=maple("printf(MathML[ExportPresentation]($graph))");

where $graph is defined using 

$graph=maple("GraphTheory[DrawGraph](GraphTheory[Graph](directed, Matrix([[0, 1, 1, 1], [1, 0, 1, 1], [1, 1, 0, 1], [1, 1, 1, 0]])))");

However, when I preview the question only a brokenMML image is displayed. I suspect that this type of object cannot be represented in MathML. If this is true, how can I embed the image in the problem given that I ultimately want the matrix to be randomized and therefore do not want a static image?

I have read the doumentation on adding generic hints or feedback to a problem. However, what I would like to do is create adaptive hints that are triggered when a student enters a particular type of incorrect answer, in order to give custom feedback. I am primarily authoring Maple-graded and Mathematical Formula type questions.

Can I do this in the Grading Code? Could someone illustrate this with an example?