走路左晃右晃 发表于 2025-3-25 04:21:15
Elementary Linear and Multilinear Algebra,This chapter is the only one where results are given either without proof, or with sketchy proofs. A beginner should have a close look at a textbook dedicated to linear algebra, not only reading statements and proofs, but also solving exercises in order to become familiar with all the relevant notions.onlooker 发表于 2025-3-25 07:33:29
Tensor and Exterior Products,Let . and . be .-vector spaces whose dimensions are finite. We construct their .. ⊗.. as follows.碳水化合物 发表于 2025-3-25 12:14:08
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Norms,In this chapter, the field .is always .or .and .denotes ... The scalar (if .=.) or Hermitian (if .=.) product on .is denoted by .易碎 发表于 2025-3-26 01:50:39
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Matrices with Entries in a Principal Ideal Domain; Jordan Reduction,In this chapter we consider only .(see Chapter 3). Such a ring .can be embedded in its field of fractions, which is the quotient of . by the equivalence relation . The embedding is the map ..BUCK 发表于 2025-3-26 10:58:55
Exponential of a Matrix, Polar Decomposition, and Classical Groups,Polar decomposition and exponentiation are fundamental tools in the theory of finite-dimensional Lie groups and Lie algebras. We do not consider these notions here in their full generality, but restrict attention to their matricial aspects.BRAND 发表于 2025-3-26 12:42:39
Matrix Factorizations and Their Applications,The techniques described below are often called .易受刺激 发表于 2025-3-26 17:45:57
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