Maple Grading Issues: Grading Sets of Vectors

Until 2023 we asked for sets of vectors to be entered as comma-separated lists, without set braces. This has now changed. This document shows how to deal with braces.

The most common question of this type is asking the user to enter a Basis set. The example code below is for this. The following algorithmic definitions are used:

# aij values are defined as the elements of the vectors

# PartMark is the Mark for correct answer w/o braces

$PartMark=0.9;
$Penalty=1-$PartMark;
$PMPer=100*$PartMark;    # Use this if you use the Feedback prompt (see below).

The code:

# Convert response to string to search for braces 

B0:="$RESPONSE";   
M:=0;

if (SearchText("{",B0)>0) and (SearchText("}",B0)>0) then

      # Give the part mark for braces, then remove braces.

   M:=$Penalty;  
   B1A:=StringTools:-Substitute(B0,"{","");
   B1:=StringTools:-Substitute(B1A,"}","");
else

   # No braces, proceed to mark vectors.

   B1:=B0;
end if;

Bf:=parse(B1);

if IsBasis(<<$a11,$a21,$a31>|<$a12,$a22,$a32>|<$a13,$a23,$a33>>,[Bf],basistype=column) then
   M:=M+(1-$Penalty);
end if;

M;

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