Titlebook: Linear Algebra; Werner Greub Textbook 1975Latest edition Springer Science+Business Media New York 1975 Matrix.algebra.automorphism.field.l

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Prerequisites,initions of that book ; however, we make two exceptions. First, the word . will in this book have a very restricted meaning, and what Halmos calls a function, we shall call a . or a .. Second, we follow Bourbaki and call mappings that are one-to-one (onto, one-to-one and onto) injective (surjective,

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Symmetric bilinear functions,roduct. The question arises which of these properties do not depend on the definiteness and hence can be carried over to a real linear space with an indefinite inner product. Linear spaces of this type will be discussed in § 4. First of all, the general properties of a symmetric bilinear function wi

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Polynomial Algebras,lization of the more general results of Chapter VII, Volume II, and is included here so that the results of the following chapter will be accessible to the reader who has not seen the volume on multilinear algebra.

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