Eschew
发表于 2025-3-21 17:23:56
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alcohol-abuse
发表于 2025-3-21 21:27:31
Matrices and Determinants,gh solutions of linear algebraic systems; determinants of arbitrary order are defined inductively. The basic properties of determinants are investigated. We then take a look at determinants from a more abstract viewpoint: it is proved that the determinant of a square matrix can be defined as an anti
担心
发表于 2025-3-22 02:15:37
Vector Spaces,omorphism, etc. are introduced and discussed. At the end of this chapter, the notions of dual vector space and forms and polynomials in vectors are considered. Most of the abstract concepts are illustrated with various examples and applications. For instance, the notion of a dual space is accompanie
枕垫
发表于 2025-3-22 05:26:22
Linear Transformations of a Vector Space to Itself,mations of a complex or real vector space to itself are investigated in greater detail. In this chapter we consider the case in which a linear transformation is diagonalizable. Namely, for a complex vector space, we obtain necessary and sufficient conditions for a linear transformation to be diagona
Headstrong
发表于 2025-3-22 12:13:21
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COWER
发表于 2025-3-22 15:33:20
Quadratic and Bilinear Forms,tablished, based on the isomorphism between the space of bilinear forms and the space of linear transformations of the vector space to the dual space. A theorem on reducing a quadratic form to canonical form is proved, and the corresponding normal forms for symmetric and antisymmetric bilinear forms
放气
发表于 2025-3-22 21:06:55
Euclidean Spaces,orthogonality, orthonormal basis, etc. Orthogonal transformations are investigated, and orientation of Euclidean spaces is discussed. After that, symmetric linear transformations of real vector spaces are investigated in greater detail; for instance, a basic property of such transformations to have
landmark
发表于 2025-3-22 23:03:51
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繁荣中国
发表于 2025-3-23 03:57:04
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CEDE
发表于 2025-3-23 08:45:34
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