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Let P=(0.80.050.20.95)P=\begin{pmatrix}0.8&0.05\\0.2&0.95\end{pmatrix} and x0=(0.6,0.4)\mathbf{x}_0=(0.6,0.4). Find the first component of x1=Px0\mathbf{x}_1=P\mathbf{x}_0.
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