الحل: ليكن $\mathbf{M} = \begin{pmatrix} a & b \\ c & d \end{pmatrix}$. نحتاج إلى إيجاد $a$, $b$, $c$, و $d$ بحيث:
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- 5السؤال: أوجد المصفوفة $\mathbf{M}$ بحيث أن $\mathbf{M} \begin{pmatrix} 2 \\ 3 \end{pmatrix} = \begin{pmatrix} 11 \\ 15 \end{pmatrix}$.
- \begin{pmatrix} a & b \\ c & d \end{pmatrix} \begin{pmatrix} 2 \\ 3 \end{pmatrix} = \begin{pmatrix} 11 \\ 15 \end{pmatrix}
- 2a + 3b = 11 \\
- 2c + 3d = 15
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