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Introduction to linear equations and matrices
Introduction to linear equations and matrices

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Learning outcomes

After studying this course, you should be able to:

  • use the method of Gauss-Jordan elimination to find the solutions of systems of simultaneous linear equations

  • solve a system of linear equations by row-reducing its augmented form

  • perform the matrix operations of addition, multiplication and transposition and express a system of simultaneous linear equations in matrix form

  • determine whether or not a given matrix is invertible and if it is, find its inverse

  • evaluate the determinant of a 2 x 2 or 3 x 3 matrix and use the determinant to determine whether or not a given 2 x 2 matrix is invertible.