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Matrix Theory

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Guide to Discrete Mathematics

Part of the book series: Texts in Computer Science ((TCS))

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Abstract

A matrix is a rectangular array of numbers that consists of horizontal rows and vertical columns. A matrix with m rows and n columns is termed an m × n matrix, where m and n are its dimensions. A matrix with an equal number of rows and columns is termed a square matrix. Various operations such as the addition and multiplication of matrices are considered, and the determinant and inverse of a matrix is discussed. The application of matrices to solving a set of linear equations using Gaussian elimination is considered.

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Reference

  1. Numerical Analysis. 4th Edition. Richard L. Burden and J. Douglas Faires. PWS Kent. 1989.

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Correspondence to Gerard O’Regan .

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© 2016 Springer International Publishing Switzerland

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O’Regan, G. (2016). Matrix Theory. In: Guide to Discrete Mathematics. Texts in Computer Science. Springer, Cham. https://doi.org/10.1007/978-3-319-44561-8_8

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  • DOI: https://doi.org/10.1007/978-3-319-44561-8_8

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-44560-1

  • Online ISBN: 978-3-319-44561-8

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