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Year 11 · General Mathematics

Matrices and networks

Choose a subtopic, explore its examples and practise with feedback.

Choose a subtopic.

Explore matrices and networks for Year 11. Each subtopic has sample questions and worked answers; choose the skill you want to practise.

01

Matrix arithmetic and costing applications

Rows/columns/order and labelled contextual matrices; Addition/subtraction/scalar multiplication; Matrix products and summing with unit row/column vectors; Technology and costing/inventory applications; model usefulness

Examples, answers and practice
02

Networks

Directed/undirected connectivity and flow networks, terminology and representations; Counting routes, shortest/longest routes with restrictions; Minimum spanning trees using greedy/Prim algorithms; Maximum flow with capacities and contextual limitations

Examples, answers and practice

Make, test and investigate.

Build a weighted network model

Create a network from a situation and construct its labelled matrix. Investigate shortest routes, a minimum spanning tree or maximum flow; change an edge and explain the effect.

Guided activity · No grade