Algebra - Linear - quiz1

Question 1: What is the determinant of [[1,0],[0,1]]?

2 -1 0 1

Question 2: What is the trace of [[2,1],[3,4]]?

10 5 6 4

Question 3: What is the determinant of [[3,0],[0,3]]?

3 0 9 6

Question 4: What is the trace of [[1,2,3],[4,5,6],[7,8,9]]?

15 45 9 6

Question 5: What is the determinant of [[2,1],[3,4]]?

5 -5 6 14

Question 6: What is the rank of [[1,0],[0,1]]?

0 1 3 2

Question 7: Is [[1,2],[2,4]] invertible?

Yes Undefined No Sometimes

Question 8: What is the determinant of [[1,2],[3,5]]?

1 Safe 8 11

Question 9: What is the trace of [[5,0],[0,5]]?

5 25 10 20

Question 10: What is the rank of [[1,2,3],[0,0,0],[0,0,0]]?

1 3 0 2

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