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Introduction to linear equations and matrices

Offered By: The Open University via OpenLearn

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Linear Algebra Courses Algebra Courses Matrices Courses Linear Equations Courses

Course Description

Overview

In this free course, matrices are used as a concise way of representing systems of linear equations which occur frequently in mathematics. Section 1 looks at simultaneous linear equations in two and three unknowns and then generalises the ideas to systems of linear equations. Section 2 develops a strategy for solving systems of linear equations. Section 3 looks at the algebra of matrices and shows that matrices can be thought of as a generalisation of vectors. Section 4 introduces the inverse of a matrix. Section 5 uses systems of linear equations to introduce the determinant of a square matrix.

Syllabus

  • Introduction
  • Learning outcomes
  • Link to course PDF
  • Conclusion
  • Acknowledgements

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