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Rubric Problem Set 3
Rubric Problem Set 3
Criteria Ratings Pts
2.1 (a) Demonstrate all 10 conditions and conclude it is a vector space.
threshold: pts
5.0 pts
All 10 conditions clearly demonstrated.
4.0 pts
All 10 conditions demonstrated, with some minor logical errors.
3.0 pts
Major logical errors for a few of the conditions
2.0 pts
Did not correctly identify as a vector space, but made some effort to explain reasoning or vey little explanation given even if correctly identified as a vector space.
1.0 pts
Did not correctly identify as a vector space with little reasoning or correctly identified as a vector space with no explanation.
0.0 pts
No Marks
pts
5.0 pts
--
2.1 (b) Demonstrate that it is not a vector space by showing one of ten conditions is not satisfied.
threshold: pts
2.0 pts
Correctly provided example of how one of the conditions is not satisfied
1.0 pts
Logical error in example but correctly identified as not a vector space.
0.0 pts
Identified the set as having satisfied all 10 conditions
pts
2.0 pts
--
2.2 (i) Show why W is not a subspace.
threshold: pts
3.0 pts
Clearly explained why one of the subspace conditions fails.
2.0 pts
Small logical error in reasoning, but identified W is not a subspace.
1.0 pts
Big logical error, some explanation attempted.
0.0 pts
No explanation or incorrectly identified W as a subspace
pts
3.0 pts
--
2.2 (ii) Show W is a subspace
threshold: pts
3.0 pts
Checked both subspace conditions correctly.
2.0 pts
Small logical error in reasoning, but identified W is a subspace.
1.0 pts
Big logical error, some explanation attempted.
0.0 pts
No explanation or incorrectly identified W as not a subspace
pts
3.0 pts
--
2.3 (a) The set is linearly dependent
threshold: pts
1.0 pts
Identified Linearly Dependent with explanation
0.0 pts
No Marks
pts
1.0 pts
--
2.3 (b) The set is linearly dependent
threshold: pts
1.0 pts
Identified Linearly Dependent with explanation
0.0 pts
No Marks
pts
1.0 pts
--
2.3 (c) The set is linearly independent
threshold: pts
1.0 pts
Identified Linearly Inependent with explanation
0.0 pts
No Marks
pts
1.0 pts
--
2.3 (d) The set is linearly independent
threshold: pts
2.0 pts
Identified Linearly Inependent with explanation
1.0 pts
Small logical error in explanation.
0.0 pts
No marks
pts
2.0 pts
--
2.3 (e) The set is linearly independent
threshold: pts
2.0 pts
Identified Linearly Inependent with explanation
1.0 pts
Small logical error in explanation.
0.0 pts
No Marks
pts
2.0 pts
--
Total Points: 20.0 out of 20.0