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Vectors and matrices — Question 2

QCAA 2022, Paper 2 · 1 mark

Q2 · 2022 · Technology-activeSimple familiar1 mark

QUESTION 2

The win/draw/loss results after a netball competition involving five teams is represented in matrix MM.
M=[0120210011020002120201200]M=\begin{bmatrix}0&1&2&0&2\\1&0&0&1&1\\0&2&0&0&0\\2&1&2&0&2\\0&1&2&0&0\end{bmatrix}
Key: Team P drew with Team Q, defeated Team R and Team T, and lost to Team S
The model M+M2+M3M+M^2+M^3 is used to rank the teams. The final positions from first to fifth are
(A)
S, Q, P, R, T
(B)
S, Q, P, T, R
(C)
S, P, Q, T, R
(D)
S, P, Q, R, T
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