If P = (2?311) what is P−1

Question 1 Report

If P = $(\begin{matrix} 2 & - 3 \\ 1 & 1 \end{matrix})$ $^{-} 1$

(\begin{matrix} - \frac{1}{5} & - \frac{3}{5} \\ - \frac{1}{5} & - \frac{2}{5} \end{matrix})

(\begin{matrix} \frac{1}{5} & \frac{3}{5} \\ \frac{1}{5} & \frac{2}{5} \end{matrix})

(\begin{matrix} - \frac{1}{5} & \frac{3}{5} \\ - \frac{1}{5} & \frac{2}{5} \end{matrix})

(\begin{matrix} \frac{1}{5} & \frac{3}{5} \\ - \frac{1}{5} & \frac{2}{5} \end{matrix})

Answer Details

P = $(\begin{matrix} 2 & - 3 \\ 1 & 1 \end{matrix})$
|P| = 2 - 1 x -3 = 5
P-1 = $\frac{1}{5}$ $(\begin{matrix} 1 & 3 \\ - 1 & 2 \end{matrix})$
= $(\begin{matrix} \frac{1}{5} & \frac{3}{5} \\ - \frac{1}{5} & \frac{2}{5} \end{matrix})$

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Number Bases

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