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Aug
23
revised Are these two Abel's criteria for uniform convergence different?
added 32 characters in body
Aug
23
asked Are these two Abel's criteria for uniform convergence different?
Aug
23
accepted How is the joint distribution of random variables defined and determined?
Aug
23
revised How is the joint distribution of random variables defined and determined?
edited title
Aug
22
revised How is the joint distribution of random variables defined and determined?
added 68 characters in body
Aug
22
asked How is the joint distribution of random variables defined and determined?
Aug
22
comment Similarity between special matrices and special complex numbers
Thanks! I feel the set of all n x n complex normal matrices instead of the set of all n x n complex matrices is analogous to the set of complex numbers. Is it right or wrong?
Aug
21
comment What is the difference between matrix theory and linear algebra?
Nice answer! Questions: (1) Are matrices always associated with vector spaces? Can they connect to the outside of vector spaces? (2) Is linear algebra the theory of vector spaces, or theory of both vector spaces and of matrices?
Aug
21
revised Similarity between special matrices and special complex numbers
added 9 characters in body
Aug
21
asked Similarity between special matrices and special complex numbers
Aug
21
accepted Conditions for a real matrix to have real eigenvalues
Aug
21
comment What do Algebra and Calculus mean?
@André: Nice! I was wondering if analysis and calculus mean the same thing, i.e. "a set of algorithms for solving a certain class of problems"?
Aug
20
comment Conditions for a real matrix to have real eigenvalues
@Theo: Why is this linear algebra? Are matrices always associated with vector spaces? Can they connect to the outside of vector spaces? PS: I identify linear algebra with the theory of vector spaces.
Aug
20
revised Conditions for a real matrix to have real eigenvalues
added 206 characters in body
Aug
20
asked Conditions for a real matrix to have real eigenvalues
Aug
20
comment Interpretation of matrices in vector spaces
@anon, Dylan: Thanks for clarifying a lot.
Aug
20
comment Interpretation of matrices in vector spaces
Thanks! As to 1, I think the Gram matrix of a bilinear form and the matrix of a linear transform $V\rightarrow V^*$ induced by the bilinear from are different, so the usage of a matrix as a Gram matrix of a bilinear from and the usage of a matrix as that of a linear mapping are different. As to 3, I meant to ask what kind of special linear mapping a positive definite matrix directly represent, instead of indirectly by viewing the matrix as Gram matrix of a bilinear form and then considering the linear mapping induced by the form. Anon's comment on this might be in the right direction.
Aug
19
revised Understanding positive definite kernel
added 2 characters in body
Aug
19
revised Understanding positive definite kernel
added 32 characters in body
Aug
19
comment Interpretation of matrices in vector spaces
I want to ask if there are other usual ways to interpret a matrix in vector space theory.