Exam 4¶
Each question will be graded out of 4 points, with partial credit given for incomplete or incorrect answers. To pass the exam, you will need at least 10 points total, which is an average of 2.5 for each question.
Next to each part of the rubrics, you will see error codes in square brackets. These error codes are will be used to indicate why any points were taken off on your exam papers.
Below are the rubrics for exam 4.
Question 1¶
How many paths?
- (1 pt) Correct adjacency matrix
(-1 pt) Adjacency matrix is significantly incorrect [IM]
- (2 pt) Compute \(A^3\)
(-1 pt) Minor issue with computation [MinE]
(-2 pts) Major issue with computation [MajE]
- (1 pt) Correct answer
(-1 pt) Answer is missing or incorrect (based on work so far) [IA]
Question 2¶
Is the function invertible.
- (1 pt) Identify matrix representation of the function
(-1 pt) Matrix representation is missing or incorrect [IM]
- (1 pt) Compute REF
(-1 pt) Major error in computation [MajE]
- (2 pts) Answer and explanation.
(-1 pt) Answer missing or incorrect [IC]
(-1 pt) Explanation is missing or incorrect.
Question 3¶
True or False?
- (1 pt) Correct answer
(-1 pt) Answer is either incorrect or missing [IA]
- (3 pts) Explain answer
- Answer TRUE
- Provided reasoning (3 points possible)
(-1 pt) Reasoning is sound but not a proof [RS]
(-2 pts) Some of the reasoning is sound [PS]
(-3 pts) Reasoning is not sound [NS]
- Provided an example (2 points possible)
(-0 pts) Example supports an answer of TRUE [EX]
(-1 pt) Example supports an answer of FALSE (is a counterexample) [CX]
(-2 pts) Example is incorrect or not relevant [NX]
- Answer FALSE
- Provided reasoning (3 points possible)
(-1 pt) Reasoning is sound but not a proof of the negative [RS]
(-2 pts) Some of the reasoning is sound [PS]
(-3 pts) Reasoning is not sound [NS]
- Provided an example (3 points possible)
(-0 pts) Counterexample [CX]
(-2 pts) Example supports an answer of TRUE [EX]
(-3 pts) Example is incorrect or not relevant [NX]
Question 4¶
Zero Product
- (1 pt) At least one column is nonzero
(-1 pt) Matrix is the zero matrix [ZM]
- (2 pts) Product is zero
(-1 pt) Minor error [MinE]
(-2 pts) Major error [MajE]
- (1 pt) Matrix is 4x4
(-1 pt) Missing rows or columns [4x4]