Diketahui Matriks² Q =[5 4 ]
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Tentukanlah Inver Matriks Q.![]()
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Tentukanlah Inver Matriks Q.
Jawaban:
[tex] \rm Q {}^{ - 1} = \left[\begin{array} {cc} \frac{1}{13} & - \frac{4}{13} \\ \frac{2}{13} & \frac{5}{13} \end{array} \right][/tex]
Penjelasan dengan langkah-langkah:
[tex]\begin{aligned} \rm Q&= \left[\begin{array} {cc}5&4 \\ - 2&1 \end{array} \right]\\ \rm Q {}^{ - 1} & = \frac{1}{(5 \times 1) - ( - 2 \times 4)}\left[\begin{array} {cc}1& - 4 \\ 2&5 \end{array} \right] \\ \rm Q {}^{ - 1}& = \frac{1}{5 + 8}\left[\begin{array} {cc}1& - 4 \\ 2&5 \end{array} \right] \\ \rm Q {}^{ - 1}& = \frac{1}{13}\left[\begin{array} {cc}1& - 4 \\ 2&5 \end{array} \right]\\ \rm Q {}^{ - 1}& = \left[\begin{array} {cc} \frac{1}{13} & - \frac{4}{13} \\ \frac{2}{13} & \frac{5}{13} \end{array} \right] \end{aligned}[/tex]
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