You are given a transition matrix P and initial distribution vector v. 0 1 P = 2/3 1/3 3/4 1/4 (a) Find the two-step transition matrix. (b) Find the distribution vectors after one step. Find the distribution vectors after two steps. Find the distribution vectors after three steps.
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Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.
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7.7q2
![You are given a transition matrix \( P \) and initial distribution vector \( v \).
\[ P = \begin{bmatrix} 0 & 1 \\ \frac{2}{3} & \frac{1}{3} \end{bmatrix} \, , \, v = \begin{bmatrix} \frac{3}{4} & \frac{1}{4} \end{bmatrix} \]
(a) Find the two-step transition matrix.
\[
\begin{bmatrix}
\phantom{a} & \phantom{a} \\
\phantom{a} & \phantom{a}
\end{bmatrix}
\]
(b) Find the distribution vectors after one step.
\[
\begin{bmatrix}
\phantom{a} & \phantom{a}
\end{bmatrix}
\]
Find the distribution vectors after two steps.
\[
\begin{bmatrix}
\phantom{a} & \phantom{a}
\end{bmatrix}
\]
Find the distribution vectors after three steps.
\[
\begin{bmatrix}
\phantom{a} & \phantom{a}
\end{bmatrix}
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