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lectures on matrices by j. h. m. wedderburn [pdf]

Lectures on Matrices by J. H. M. Wedderburn

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About this book :-
Lectures on Matrices written by J. H. M. Wedderburn.
This book is lectures on matrices given at Princeton University at various times since 1920. This definitive presentation of matrix theory is the work of one of America€™s most significant contributors to this area. The first three chapters take matrix theory up to elementary divisors, proceeding to examinations of vector polynomials and singular matric polynomials. A discussion of compound matrices follows, succeeded by considerations of Hermitian, symmetric, and skew matrices, with a number of interesting proofs of properties.

Book Detail :-
Title: Lectures on Matrices
Edition:
Author(s): Joseph Henry Maclagan
Publisher: Dover Publications
Series:
Year:
Pages: 212
Type: PDF
Language: English
ISBN: 0486441679, 978-0486441672
Country: Scottish
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About Author :-
J. H. M. Wedderburn was a Scottish mathematician, he taught at Princeton University for most of his career. A significant algebraist, he proved that a finite division algebra is a field, and part of the Artin–Wedderburn theorem on simple algebras. He also worked on group theory and matrix algebra.

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Book Contents :-
Lectures on Matrices written by J. H. M. Wedderburn cover the following topics.
1. MATRICES AND VECTORS
2. ALGEBRAIC OPERATION8 WITH MATRICES . THE CHARACTERISTIC EQUATION
3. INVARIANT FACTORB AND ELEMENTARY DIVISORS
4. VECTOR POLYNOMIALS
5. COMPOUSD MATRICES
6. SYMMETRIC. SKEW. AND HERMITIAN MATRICES
7. COMMUTATIVE MATRICES
8. FUNCTIONS OF MATRICES
9. THE AUTOMORPHIC TRANSFORMATION OF A BILINEAR FORM
10. LINEAR ASSOCIATIVE ALGEBRAS
Notes


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