Algebra - Linear - quiz1

Question 1: What is the determinant of $\begin{bmatrix}1&0\\0&1\end{bmatrix}$?

1 0 -1 2

Question 2: What is the trace of $\begin{bmatrix}2&1\\3&4\end{bmatrix}$?

5 6 4 10

Question 3: What is the determinant of $\begin{bmatrix}3&0\\0&3\end{bmatrix}$?

3 0 6 9

Question 4: What is the trace of $\begin{bmatrix}1&2&3\\4&5&6\\7&8&9\end{bmatrix}$?

6 9 45 15

Question 5: What is the determinant of $\begin{bmatrix}2&1\\3&4\end{bmatrix}$?

14 -5 5 6

Question 6: What is the rank of $\begin{bmatrix}1&0\\0&1\end{bmatrix}$?

2 1 0 3

Question 7: Is $\begin{bmatrix}1&2\\2&4\end{bmatrix}$ invertible?

No Yes Sometimes Undefined

Question 8: What is the determinant of $\begin{bmatrix}1&2\\3&5\end{bmatrix}$?

1 8 11 Safe

Question 9: What is the trace of $\begin{bmatrix}5&0\\0&5\end{bmatrix}$?

20 5 10 25

Question 10: What is the rank of $\begin{bmatrix}1&2&3\\0&0&0\\0&0&0\end{bmatrix}$?

1 3 0 2

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