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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农学 发表于 2025-3-25 19:49:54

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promote 发表于 2025-3-25 22:07:57

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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详细目录 发表于 2025-3-26 07:41:44

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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