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ERIC Number: EJ1030762
Record Type: Journal
Publication Date: 2014
Pages: 24
Abstractor: As Provided
Reference Count: 6
ISSN: ISSN-0020-739X
The Modern Origin of Matrices and Their Applications
Debnath, L.
International Journal of Mathematical Education in Science and Technology, v45 n4 p528-551 2014
This paper deals with the modern development of matrices, linear transformations, quadratic forms and their applications to geometry and mechanics, eigenvalues, eigenvectors and characteristic equations with applications. Included are the representations of real and complex numbers, and quaternions by matrices, and isomorphism in order to show that matrices form a ring in abstract algebra. Some special matrices, including Hilbert's matrix, Toeplitz's matrix, Pauli's and Dirac's matrices in quantum mechanics, and Einstein's Pythagorean formula are discussed to illustrate diverse applications of matrix algebra. Included also is a modern piece of information that puts mathematics, science and mathematics education professionals at the forefront of advanced study and research on linear algebra and its applications.
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: High Schools; Secondary Education; Higher Education; Postsecondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A