Year 12 Specialist (Unit 3 & 4)
Further matrices
Dominance matrices
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Questions
Question 1
196399
Four netball teams \(A, B, C, D\) played a round-robin. The results are recorded in the dominance matrix \(M\) below, where \(m_{ij}=1\) if team \(i\) beat team \(j\) (rows and columns are in the order \(A, B, C, D\)). \[M=\begin{pmatrix}0 & 1 & 1 & 0
0 & 0 & 1 & 1
0 & 0 & 0 & 1
1 & 0 & 0 & 0\end{pmatrix}\] Find the one-step dominance score of team \(A\).
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