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Mathematical Methods by E. Rukmangadachari

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1

Matrices and Linear Systems of Equations

1.1 Introduction

The concept of a matrix was introduced in 1850 by the English mathematician James Joseph Sylvestor.1 Two other English mathematicians namely William Rowan Hamilton2 (1853) and Arthur Cayley3 (1858) used matrices in the solution of systems of equations. Elementary transformations were used by German mathematicians Hermann Grassmann4 (1862) and Leopold Kronecker5 (1866) in the solution of systems of equations. The Theory of Matrices is important in engineering studies while dealing with systems of linear equations and in the study of linear transformations and in the solution of eigenvalue problems.

1.1.1 Matrix: Definition

A set of mn real or complex numbers or functions displayed as ...

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