Matrices and discrete maths

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Module B6-Matrices (PDF*404kb)

This document includes:

  • What are matrices (including: tables to matrices, defining a matrix, and matrix equality)
  • Calculating with matrices (including: addition, subtraction and multiplication)
  • Some special matrices (including: the identity matrix and the inverse matrix)
  • Solving matrix equations
  • Real world problems

A more detailed list of topics is also available: B6: Matrices – contents.

Module C5-Analytical geometry (PDF*926kb)

This document includes:

  • Describing points in space (including: rectangular coordinates, polar coordinates, and vectors)
  • Describing straight lines (including: equations of a straight line, distance between points and mid-point of a line)
  • Describing other curves (including circles)
  • Transformations (including: transforming points, straight lines, parabolas, circles and other curves)

A more detailed list of topics is also available: Analytical geometry – contents.

Module D3-Matrices (PDF*495kb)

This document includes:

  • Introduction
  • Matrix representation of data
  • Addition and subtraction of matrices
  • Multiplication of a matrix by a scalar
  • Multiplication of a matrix by a vector
  • Multiplication of two matrices
  • Special matrices
  • Linear equations in matrix form
  • Solution of a system of linear equations by row reduction
  • Solution of linear equations using the inverse of the coefficient matrix
  • Inverse matrices
  • Determinant of a square matrix

A more detailed list of topics is also available: D3: Matrices – contents.

Module D1-Discrete mathematics (PDF*486kb)

This document includes:

  • Factorials
  • Binomial theorem
  • Sequence and series
  • Mathematical induction

A more detailed list of topics is also available: Discrete mathematics – contents.