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Questions and Answers
What is the determinant of the matrix $\begin{pmatrix} 3 & 4 \ 5 & 2 \end{pmatrix}$?
What is the determinant of the matrix $\begin{pmatrix} 3 & 4 \ 5 & 2 \end{pmatrix}$?
- 11
- 10
- 13
- 12 (correct)
Which of the following matrices is the identity matrix?
Which of the following matrices is the identity matrix?
- $\begin{pmatrix} 0 & 1 \\ 1 & 0 \end{pmatrix}$
- $\begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix}$ (correct)
- $\begin{pmatrix} 1 & 1 \\ 1 & 1 \end{pmatrix}$
- $\begin{pmatrix} 2 & 0 \\ 0 & 2 \end{pmatrix}$
If $A$ and $B$ are two matrices such that multiplication of $A$ and $B$ is possible, then in general, does $AB = BA$?
If $A$ and $B$ are two matrices such that multiplication of $A$ and $B$ is possible, then in general, does $AB = BA$?
- Yes, multiplication of matrices is commutative
- No, multiplication of matrices is always non-commutative
- It depends on the specific matrices $A$ and $B$ (correct)
- None of the above
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