Linear Spaces and Operators
Matrix theory can be studied with no mention of linear spaces, and most of the results in this book are of such a nature. However, the introduction of linear spaces and the role of matrices in defining or representing linear transformations on such spaces add considerably to our insight. Most importantly, perhaps, the notions of linear spaces and linear transformations give a geometrical basis to matrix theory, which aids both in understanding as well as in suggesting proofs and new results.
KeywordsLinear Operator Linear Space Matrix Representation Product Space Normed Linear Space
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