Matrices

A matrix is simply a rectangular grid of numbers - useful for organising information (like a table of stock quantities per branch) and for describing transformations of shapes.

  • Matrix notation and order
  • Adding, subtracting and multiplying by a scalar
  • Multiplying matrices

Lessons for Matrices

Matrix Notation and Order

A grid of numbersThink of a matrix like a small tuckshop stock sheet: rows for each branch, columns for each …

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Adding, Subtracting and Scalar Multiplication

Matching positionsAdd or subtract matrices by combining matching positions - like adding two stock sheets of the same shop layout …

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Multiplying Matrices

Row meets columnTo multiply matrices, take each row of the first matrix and "pair up" with each column of the …

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Exercises for Matrices

Matrix basics

State the order of the matrix [[1,2,3],[4,5,6]].Write down a 3×1 matrix of your choice.In matrix [[7,2],[5,9]], identify the element in …

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Matrix arithmetic

Add [[2,3],[1,4]] and [[1,1],[2,0]].Subtract [[5,2],[3,6]] - [[1,1],[2,4]].Find 3 × [[2,-1],[0,4]].

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Multiply matrices

Multiply [[2,1]] × [[3],[5]].Multiply [[1,0],[0,1]] × [[4,2],[1,3]] and comment on the result.Multiply [[2,3],[1,4]] × [[1,0],[2,1]].

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