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Matrices — Question 42

Original QCE Vault practice · 6 marks

Q42 · Practice questionComplex familiar6 marks

QUESTION 42 (6 marks)

Four competitors

A,B,C,D

have dominance matrix

D=\begin{pmatrix}0&1&1&0\\0&0&1&1\\0&0&0&1\\1&0&0&0\end{pmatrix}.

A competition uses the score defined as the row sum of

D+D^2

.

a)

Calculate

D^2

.

[3 marks]

b)

Determine the score of each competitor and hence the ranking from highest to lowest score.

[3 marks]

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