Tentukan invers matrikks dari P. Jika P=2 -5 -3 1
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Pertanyaan
Tentukan invers matrikks dari P. Jika
P=2 -5
-3 1
P=2 -5
-3 1
1 Jawaban
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1. Jawaban kekkaiisshi
[tex] P = \left[\begin{array}{ccc}2&-5\\-3&1\end{array}\right] \\ P^{-1} = \frac{1}{det P} .adj.P \\ P^{-1} = \frac{1}{2.1 - (-5)(-3)} .\left[\begin{array}{ccc}1&5\\3&2\\\end{array}\right] \\ P^{-1} = \frac{1}{17} \left[\begin{array}{ccc}1&5\\3&2\\\end{array}\right] \\ P^{-1} = \left[\begin{array}{ccc} \frac{1}{17} & \frac{5}{17} \\ \frac{3}{17} & \frac{2}{17} \\\end{array}\right][/tex]