In the name of ALLAH, the most beneficient, the most merciful

Linear Algebra (MTH501)

Question (select most suitable option)

  Which of the following will be the Linear Combination corresponding to \( \begin{pmatrix} -2 & 3 \\ 5 & 1 \\ \end{pmatrix} \begin{pmatrix} x \\ y \\ \end{pmatrix} \)?
\( \begin{pmatrix} -2 \\ 3 \\ \end{pmatrix} x + \begin{pmatrix} 5 \\ 1 \\ \end{pmatrix} y \)
\( \begin{pmatrix} 3 \\ 1 \\ \end{pmatrix} x + \begin{pmatrix} -2 \\ 5 \\ \end{pmatrix} y \)
\( \begin{pmatrix} 5 \\ 1 \\ \end{pmatrix} x + \begin{pmatrix} -2 \\ 3 \\ \end{pmatrix} y \)
\( \begin{pmatrix} -2 \\ 5 \\ \end{pmatrix} x + \begin{pmatrix} 3 \\ 1 \\ \end{pmatrix} y \)