QCEVault

Matrices and applications — Question 198

Original QCE Vault practice · 5 marks

Q198 · Practice questionTechnology-activeComplex familiar5 marks

QUESTION 198 (5 marks)

A dominance matrix in order A,B,C,D is
M=(0110001100011000).M=\begin{pmatrix}0&1&1&0\\0&0&1&1\\0&0&0&1\\1&0&0&0\end{pmatrix}.
A score is the row sum of M+M2M+M^2.
a)
Determine and interpret the A,D entry of M squared.
[2 marks]
b)
Calculate all four scores and rank the teams.
[3 marks]
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