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Daniel Norman - Teaching linear algebra independence via unique representation
DANIEL NORMAN, Department of Mathematics and Statistics, Queen's University, Kingston, Ontario K7L 3N6 |
Teaching linear algebra independence via unique representation |
The important role of linear independence in introductory linear algebra is to guarantee the uniqueness of coordinates defined with respect to a basis. It is suggested that students might grasp the essential idea better if the idea of unique representation was stressed first, instead of either proceeding straight to a formal definition or first discussing examples of geometrical dependence of vectors.