WildLinAlg15: Applications of row reduction (Gaussian elimination)
This lecture shows how the three main problems of Linear Algebra can be tackled using the algorithm of row reduction, also called Gaussian elimination. The three main problems are: how to invert a linear change of coordinates, how to compute the eigenvalues and eigenvectors of a square matrix, and how to compute the determinant of a square matrix. Each problem is illustrated with examples.
This is part of a first course in Linear Algebra given by Assoc Prof N J Wildberger of UNSW.