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Year 11 General Matrices And Matrix Arithmetic

Communications And Connections

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Questions
Question 1
29687

Write the matrix for the communication diagram. Use the number \(1\) when direct communication between two people exists and \(0\) for no communication. 

Refer to matrix

\begin{align}
\rightarrow\quad \begin{array}{cc}
\;\;\begin{array}{ccc}A&B& C \end{array} \\
\begin{array}{c}A\\ B\\ C \end{array}\left[\begin{array}{lll}
0 & 1 & 1 \\
1 & 0 & 0 \\
1 & 0 & 0
\end{array}\right]&
\begin{array}{c}
A \leftrightarrow C=1\\
A\leftrightarrow B=1
\end{array}
\end{array}
\end{align}

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