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Matrices — Question 72

Original QCE Vault practice · 6 marks

Q72 · Practice questionComplex familiar6 marks

QUESTION 72 (6 marks)

Five competitors have dominance matrix

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

A dominance score is defined as the row sum of

D+D^2

.

a)

Use technology to calculate

D^2

.

[2 marks]

b)

Determine the five dominance scores.

[2 marks]

c)

Rank the competitors from highest to lowest score, allowing ties if necessary.

[2 marks]

Question linkSyllabus coverage

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