Matrices and Determinoids: Volume 1 - C. E. Cullis

Matrices and Determinoids: Volume 1

(Autor)

Buch | Softcover
444 Seiten
2013
Cambridge University Press (Verlag)
978-1-107-65555-3 (ISBN)
47,35 inkl. MwSt
This 1913 book forms part of a three-volume work dealing with rectangular matrices and determinoids as distinguished from square matrices and determinants. The first volume contains the most fundamental portions of the theory and concludes with the solution of any system of linear algebraic equations.
Originally published in 1913, this book forms part of a three-volume work created to expand upon the content of a series of lectures delivered at the University of Calcutta during the winter of 1909–10. The chief feature of all three volumes is that they deal with rectangular matrices and determinoids as distinguished from square matrices and determinants, the determinoid of a rectangular matrix being related to it in the same way as a determinant is related to a square matrix. An attempt is made to set forth a complete and consistent theory or calculus of rectangular matrices and determinoids. The first volume contains the most fundamental portions of the theory and concludes with the solution of any system of linear algebraic equations, which is treated as a special case of the solution of a matrix equation of the first degree.

Preface; 1. Introduction of rectangular matrices and determinoids; 2. Affects of the elements and derived products of a matrix or determinoid; 3. Sequences and the affects of derived sequences; 4. Affects of derived matrices and derived determinoids; 5. Expansions of a determinoid; 6. Properties of a product formed by a chain of matrix factors; 7. Determinoid of a product formed by a chain of matrix factors; 8. Matrices of minor determinants; 9. Bank of a matrix and connections between the rows of a matrix; 10. Matrix equations of the first degree; 11. Solution of any system of linear algebraic equations; Index.

Erscheint lt. Verlag 28.3.2013
Verlagsort Cambridge
Sprache englisch
Maße 178 x 254 mm
Gewicht 770 g
Themenwelt Mathematik / Informatik Mathematik Algebra
Mathematik / Informatik Mathematik Geschichte der Mathematik
ISBN-10 1-107-65555-2 / 1107655552
ISBN-13 978-1-107-65555-3 / 9781107655553
Zustand Neuware
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