Use the Given Transition Matrix P and the Given Initial $P = \left[ \begin{array} { c c } 0.9 & 0.1 \\0 & 1\end{array} \right]$

question 114

Multiple Choice

Use the given transition matrix P and the given initial distribution vector v to obtain the two-step transition matrix and the distribution vector after two steps. $P = \left[ \begin{array} { c c } 0.9 & 0.1 \\0 & 1\end{array} \right]$ , $v = \left[ \begin{array} { l l } 0.9 & 0.1\end{array} \right]$

• A)The two-step transition matrix is \(\left[ \begin{array} { c c }
• 0.81 & 0.19 \\
• 0 & 1
• \end{array} \right]\) The distribution vector is \(\left[ \begin{array} { l l }
• 1 & 0
• \end{array} \right]\)
• B) The two-step transition matrix is \(\left[ \begin{array} { c c }
• 0 & 1 \\
• 0.81 & 0.19
• \end{array} \right]\)
• The distribution vector is \(\left[ \begin{array} { l l }
• 0 & 1
• \end{array} \right]\)
• C) The two-step transition matrix is \(\left[ \begin{array} { c c }
• 0.81 & 0.01 \\
• 0 & 1
• \end{array} \right]\)
• The distribution vector is \(\left[ \begin{array} { l l }
• 0.729 & 0.271
• \end{array} \right]\)
• D) The two-step transition matrix is \(\left[ \begin{array} { c c }
• 0.81 & 0.19 \\
• 0 & 1
• \end{array} \right]\)
• The distribution vector is \(\left[ \begin{array} { l l }
• 0.81 & 0
• \end{array} \right]\)
• E) The two-step transition matrix is \(\left[ \begin{array} { c c }
• 0.81 & 0.19 \\
• 0 & 1
• \end{array} \right]\)
• The distribution vector is \(\left[ \begin{array} { l l }
• 0.729 & 0.271
• \end{array} \right]\)

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