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Linear algebra is the study of vectors and linear functions. Vector spaces, linear dependence of vectors, basis, dimension, linear transformations, matrix representation with respect to an ordered basis, range space and null space, ranknullity theorem. Read online linear algebra problem book gbv book pdf free download link book now. The author does not focus on the four fundamental subspaces, a point of view popularized by gilbert strang in his books linear algebra and its applications and introduction to linear algebra. Vector spaces, linear dependence of vectors, basis, dimension, linear transformations, matrix representation with res. It is designed both for engineering and science majors, but has enough abstraction to be useful for potential math majors. While this may contradict the experience of many experienced mathematicians, the approach here is consciously algebraic.

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