Use the Given Transition Matrix P and the Given Initial $P = \left[ \begin{array} { c c } 1 & 0 \\0.4 & 0.6\end{array} \right]$

question 16

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. $P = \left[ \begin{array} { c c } 1 & 0 \\0.4 & 0.6\end{array} \right]$ , $v = \left[ \begin{array} { l l } 0.6 & 0.4\end{array} \right]$

• A)The two-step transition matrix is \(\left[ \begin{array} { c c }
• 1 & 0 \\
• 0.64 & 0.36
• \end{array} \right]\) The distribution vector is \(\left[ \begin{array} { l l }
• 0.856 & 0.144
• \end{array} \right]\)
• B) The two-step transition matrix is \(\left[ \begin{array} { c c }
• 1 & 0 \\
• 0.64 & 0.36
• \end{array} \right]\)
• The distribution vector is \(\left[ \begin{array} { l l }
• 0.16 & 0
• \end{array} \right]\)
• C) The two-step transition matrix is \(\left[ \begin{array} { c c }
• 1 & 0 \\
• 0.64 & 0.36
• \end{array} \right]\)
• The distribution vector is \(\left[ \begin{array} { l l }
• 1 & 0
• \end{array} \right]\)
• D) The two-step transition matrix is \(\left[ \begin{array} { c c }
• 0.64 & 0.36 \\
• 1 & 0
• \end{array} \right]\)
• The distribution vector is \(\left[ \begin{array} { l l }
• 0 & 1
• \end{array} \right]\)
• E) The two-step transition matrix is \(\left[ \begin{array} { l l }
• 0.16 & 0.36 \\
• 0.64 & 0.36
• \end{array} \right]\)
• The distribution vector is \(\left[ \begin{array} { l l }
• 0.856 & 0.144
• \end{array} \right]\)

---

Definitions:

Holism

An approach or philosophy that emphasizes the importance of understanding systems or phenomena as wholes rather than solely through their individual components.

Disabilities

Conditions that impair, limit, or restrict an individual's physical or mental abilities.

Disfiguring

Causing physical damage or alteration to the appearance of something, often in a way that is considered unattractive or unpleasant.

Nature Dimension

Describes aspects of the physical environment and how they influence organisms and ecosystems.