Ingram Harmon
01/19/2024 · Primary School
2. Multiplica las siguientes matrices: \( A=\left(\begin{array}{ccc}1 & \frac{1}{5} & -6 \\ \frac{1}{4} & 0 & -\frac{2}{3} \\ \frac{2}{7} & -2 & -1 \\ 0 & 3 & 2\end{array}\right) \quad B=\left(\begin{array}{cccc}-4 & \frac{1}{8} & 5 & -2 \\ \frac{7}{2} & -2 & \frac{5}{6} & 0 \\ 1 & 4 & -1 & \frac{2}{5}\end{array}\right) \)
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Para multiplicar las matrices \( A \) y \( B \), primero reducimos \( B \) a una forma con 3 columnas. El producto de las matrices es:
\( A \times B = \left(\begin{array}{rrr}-\frac{93}{10} & -\frac{971}{40} & \frac{67}{6} \\ -\frac{5}{3} & -\frac{253}{96} & \frac{23}{12} \\ -\frac{64}{7} & \frac{1}{28} & \frac{16}{21} \\ \frac{25}{2} & 2 & \frac{1}{2}\end{array}\right) \)
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