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WildLinAlg15: Applications of row reduction (Gaussian elimination)
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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.
This is part of a first course in Linear Algebra given by Assoc Prof N J Wildberger of UNSW.
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