Matematika

Pertanyaan

Diketahui kesamaan matriks :
[tex]\left[\begin{array}{ccc}-2&8&\\1&5\end{array}\right] \times \left[\begin{array}{ccc}2&3&\\-4&6\end{array}\right] + 3T = \left[\begin{array}{ccc}10&17&\\16&20\end{array}\right][/tex]

Tentukan matriks T

1 Jawaban

  • [tex] \left[\begin{array}{ccc}-2&8\\1&5\end{array}\right] x \left[\begin{array}{ccc}2&3\\-4&6\end{array}\right] +3T= \left[\begin{array}{ccc}10&17\\16&20\end{array}\right] \\ \left[\begin{array}{ccc}-36&42\\-18&33\end{array}\right] +3T= \left[\begin{array}{ccc}10&17\\16&20\end{array}\right] \\ 3T= \left[\begin{array}{ccc}10&17\\16&20\end{array}\right]- \left[\begin{array}{ccc}-36&42\\-18&33\end{array}\right] \\ 3T= \left[\begin{array}{ccc}46&-25\\34&-13\end{array}\right] \\[/tex]
    [tex]T= \left[\begin{array}{ccc} \frac{46}{3} & -\frac{25}{3} \\ \frac{34}{3} & -\frac{13}{3} \end{array}\right][/tex]

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