Algebra - Linear - quiz1

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

0 1 -1 2

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

6 5 4 10

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

0 6 9 3

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

45 9 6 15

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

6 14 5 -5

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

3 0 1 2

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

Yes Undefined Sometimes No

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

8 1 Safe 11

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

25 5 20 10

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

1 3 2 0

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