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Home » $ p(3) = 18 + 3 = 21 $, - Esdistancia

$ p(3) = 18 + 3 = 21 $, - Esdistancia

📅 March 17, 2026 👤 scraface

Mar 17, 2026

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📌 Question: Find the matrix \(\mathbf{M}\) such that \(\mathbf{M} egin{bmatrix} 1 \ 2 \end{bmatrix} = egin{bmatrix} 4 \ 1 \end{bmatrix}\) and \(\mathbf{M} egin{bmatrix} 3 \ -1 \end{bmatrix} = egin{bmatrix} 5 \ -2 \end{bmatrix}\).

📌 Solution: Let \(\mathbf{M} = egin{bmatrix} a & b \ c & d \end{bmatrix}\)

📌 First equation:

📌 egin{bmatrix} a & b \ c & d \end{bmatrix} egin{bmatrix} 1 \ 2 \end{bmatrix} = egin{bmatrix} a + 2b \ c + 2d \end{bmatrix} = egin{bmatrix} 4 \ 1 \end{bmatrix}

📌 \Rightarrow

📌 a + 2b = 4 \

📌 c + 2d = 1

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