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Count routes using powers of a connection matrix

Question 1 of 8

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The network shows computers that can send data through relays. Each line is one two-way data link

Use the order Desktop, Printer, Laptop for the rows and columns of connection matrix \(C\). Rows name the starting vertex and columns name the ending vertex

C = \begin{bmatrix} 0 & 0 & 2 \\ 0 & 0 & 1 \\ 2 & 1 & 0 \end{bmatrix}