Description

Book Synopsis
In 1937, the theory of matrices was 75 years old. This work discusses topics such as vectors, bases, adjoints, eigenvalues and the characteristic polynomials, up to and including the properties of Hermitian and orthogonal matrices. It ends with an appendix of historical notes on the development of the theory of matrices, and a bibliography.

Table of Contents
Matrices and vectors Algebraic operations with matrices. The characteristic equation Invariant factors and elementary divisors Vector polynomials. Singular matric polynomials Compound matrices Symmetric, skew, and hermitian matrices Commutative matrices Functions of matrices The automorphic transformation of a bilinear form Linear associative algebras Notes Bibliography Index to bibliography Index.

Lectures on Matrices

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    A Paperback by American Mathem American Mathem

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      Book details

      Publisher American Mathematical Society
      Published 1 January 1939
      ISBN-13 9780821846100
      978-0821846100
      ISBN-10 0821846108

      Description

      Book Synopsis
      In 1937, the theory of matrices was 75 years old. This work discusses topics such as vectors, bases, adjoints, eigenvalues and the characteristic polynomials, up to and including the properties of Hermitian and orthogonal matrices. It ends with an appendix of historical notes on the development of the theory of matrices, and a bibliography.

      Table of Contents
      Matrices and vectors Algebraic operations with matrices. The characteristic equation Invariant factors and elementary divisors Vector polynomials. Singular matric polynomials Compound matrices Symmetric, skew, and hermitian matrices Commutative matrices Functions of matrices The automorphic transformation of a bilinear form Linear associative algebras Notes Bibliography Index to bibliography Index.

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