Questions tagged [linear-algebra]

For questions about linear algebra, a mathematical field studying vector spaces and matrices.

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11
votes
2answers
528 views

What came first? The kernel from vector spaces or from group theory?

In studying vector spaces we learn about linear transformations from one vector space to another and in particular the kernel of such a transformation. When learning about group theory we also learn ...
7
votes
2answers
222 views

Why do we call it a “positive definite matrix” rather than a “positively definite matrix”?

The term positive definite matrix is a standard one used in mathematics, especially in linear algebra. Are there grammatical, linguistic, or historical reasons why it was not called a positively ...
7
votes
3answers
642 views

Why do we call a linear mapping “linear mapping”?

According with the book Classic Algebra by P.M.Cohn for historical reasons we call a linear mapping "linear mapping". What are the historical reasons that created the term "linear mapping"?
5
votes
1answer
301 views

First appearance of tensor product symbol $\otimes$

I was asked recently if the tensor product symbol $\otimes$ had been used before Bourbaki's publication on multilinear algebra in 1948 (a draft of this document can be seen at http://sites.mathdoc.fr/...
4
votes
2answers
905 views

Who discovered the Jordan normal form?

In the paper by A. J. Coleman, "The greatest mathematical paper of all time" (Math Intelligencer, 11, no. 3 (1989), 29-39), on page 30 there is a passing remark that the "Jordan form is due to ...
4
votes
2answers
1k views

The terminologies “Adjoint” and “Adjugate”

The adjoint of a matrix is also called the adjugate. However, the word "adjoint" is also used in Linear Algebra for linear transformations, and the "adjoint of a matrix" and "adjoint of a linear map"...