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YEAR 11 · MATRICES AND NETWORKS

Topic review.

Check the key ideas, then put them together independently.

QUICK RECAP

Connect the ideas

Matrix entries require matching row/column labels and units.

Add equal-order matrices entry by entry; multiply compatible matrices row by column.

Arrows restrict direction and network weights require units.

An adjacency power counts walks, not automatically simple paths.

Shortest path, minimum spanning tree and maximum flow solve different optimisation problems.

A feasible flow matching a cut capacity proves a maximum.

Check constraints and assumptions before recommending a solution.

Practice tests

Complete each paper and show your working.

  1. Matrices and networks — Practice test 1

    10 questions · 40 marks · 65 minutes · Scientific calculator

    An original mixed chapter paper. Show calculations, state units and justify network decisions using the supplied information.

  2. Matrices and networks — Practice test 2

    10 questions · 40 marks · 65 minutes · Scientific calculator

    An original mixed chapter paper. Show calculations, state units and justify network decisions using the supplied information.

  3. Matrices and networks — Practice test 3

    10 questions · 40 marks · 65 minutes · Scientific calculator

    An original mixed chapter paper. Show calculations, state units and justify network decisions using the supplied information.

  4. Matrices and networks — Practice test 4

    10 questions · 40 marks · 65 minutes · Scientific calculator

    An original mixed chapter paper. Show calculations, state units and justify network decisions using the supplied information.

  5. Matrices and networks — Applications and reasoning test

    10 questions · 60 marks · 75 minutes · Scientific calculator

    An original mixed chapter paper. Show calculations, state units and justify network decisions using the supplied information.

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