3 years ago

PLEASE HELP ASAP

Computers and Technology

2 answers:

murzikaleks [220]3 years ago

8 0

Answer:

(B. Application

Explanation:

Scilla [17]3 years ago

3 0

I believe the answer is application

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Given the following adjacency matrix, what is the approximate rank vector after one iteration of the power iteration method (use

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Note: The matrix referred to in the question is: $M = \left[\begin{array}{ccc}1/2&1/3&0\\1/2&1/3&0\\0&1/3&1\end{array}\right]$

Answer:

a) [5/18, 5/18, 4/9]'

Explanation:

The adjacency matrix is $M = \left[\begin{array}{ccc}1/2&1/3&0\\1/2&1/3&0\\0&1/3&1\end{array}\right]$

To start the power iteration, let us start with an initial non zero approximation,

$X_o = \left[\begin{array}{ccc}1\\1\\1\end{array}\right]$

To get the rank vector for the first Iteration:

$X_1 = MX_0$

$X_1 = \left[\begin{array}{ccc}1/2&1/3&0\\1/2&1/3&0\\0&1/3&1\end{array}\right]\left[\begin{array}{ccc}1\\1\\1\end{array}\right] \\\\X_1 = \left[\begin{array}{ccc}5/6\\5/6\\4/3\end{array}\right]\\$

Multiplying the above matrix by 1/3

$X_1 = \left[\begin{array}{ccc}5/18\\5/18\\4/9\end{array}\right]$

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