WildLinAlg13: Solving a system of linear equations
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Description
Row reduction or Gaussian elimination solves a system of linear equations in stages, by continually combining the equations to successively simplify the system by eliminating variables. We frame the algorithm using the augemented matrix of the system, performing elementary row operations. The first aim is to reduce the matrix to an equivalent one in row echelon form.
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This is the Introductory lecture to a beginner's course in Algebraic Topology, MATH5665, given by N J Wildberger of the School of Mathematics and Statistics at UNSW in 2010. The course is suitable for 3rd and 4th year mathematics majors, hopefully with some prior knowledge of group theory. Others...
Published 07/27/10
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We show how these ideas lead naturally to the important concepts of eigenvectors and associated eigenvalues,...
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