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Home » Total time: \(3 + 1.5 = 4.5\) hours. - Groen Casting

Total time: \(3 + 1.5 = 4.5\) hours. - Groen Casting

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 5السؤال: أوجد المصفوفة $\mathbf{M}$ بحيث أن $\mathbf{M} \begin{pmatrix} 2 \\ 3 \end{pmatrix} = \begin{pmatrix} 11 \\ 15 \end{pmatrix}$.

📌 الحل: ليكن $\mathbf{M} = \begin{pmatrix} a & b \\ c & d \end{pmatrix}$. نحتاج إلى إيجاد $a$, $b$, $c$, و $d$ بحيث:

📌 \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

📌 يمكننا حل هذا النظام بافتراض أبسط الحلول عن طريق اختيار قيم مناسبة. لنفترض $a = 2$, إذن:

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