Matrix Operations Quiz

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Questions and Answers

What is the result of adding the matrices $\begin{pmatrix} 1 & 2 \ 3 & 4 \end{pmatrix}$ and $\begin{pmatrix} 5 & 6 \ 7 & 8 \end{pmatrix}$?

  • $\begin{pmatrix} 6 & 8 \\ 8 & 12 \end{pmatrix}$
  • $\begin{pmatrix} 5 & 8 \\ 10 & 12 \end{pmatrix}$
  • $\begin{pmatrix} 4 & 6 \\ 10 & 12 \end{pmatrix}$
  • $\begin{pmatrix} 6 & 8 \\ 10 & 12 \end{pmatrix}$ (correct)

What is the determinant of the matrix $\begin{pmatrix} 3 & 5 \ 2 & 4 \end{pmatrix}$?

  • $-2$ (correct)
  • $6$
  • $0$
  • $1$

What is the product of the matrices $\begin{pmatrix} 1 & 2 \ 3 & 4 \end{pmatrix}$ and $\begin{pmatrix} 5 & 6 \ 7 & 8 \end{pmatrix}$?

  • $\begin{pmatrix} 19 & 22 \\ 43 & 50 \end{pmatrix}$ (correct)
  • $\begin{pmatrix} 23 & 34 \\ 62 & 80 \end{pmatrix}$
  • $\begin{pmatrix} 23 & 34 \\ 31 & 46 \end{pmatrix}$
  • $\begin{pmatrix} 26 & 30 \\ 55 & 64 \end{pmatrix}$

If you subtract the matrix $\begin{pmatrix} 7 & 9 \ 11 & 13 \end{pmatrix}$ from $\begin{pmatrix} 10 & 14 \ 15 & 19 \end{pmatrix}$, what is the resulting matrix?

<p>$\begin{pmatrix} 3 &amp; 5 \ 4 &amp; 6 \end{pmatrix}$ (D)</p> Signup and view all the answers

Which operation cannot be performed on the matrices $\begin{pmatrix} 1 & 2 \ 3 & 4 \end{pmatrix}$ and $\begin{pmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \end{pmatrix}$?

<p>Addition (A)</p> Signup and view all the answers

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