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Matrix algebra for beginners, Part I matrices ...

Matrix algebra for beginners, Part Imatrices, determinants, inversesJeremy GunawardenaDepartment of Systems BiologyHarvard Medical School200 Longwood Avenue, Cambridge, MA 02115, January 2006 Contents1 Introduction12 Systems of linear equations13 matrices and Matrix multiplication24 matrices and complex numbers55 Can we use matrices to solve linear equations?66 Determinants and the inverse matrix77 Solving systems of linear equations98 Properties of determinants109 Gaussian elimination1111 IntroductionThis is a Part I of an introduction to the Matrix algebra needed for the Harvard Systems Biology101 graduate course.

Matrix algebra for beginners, Part I matrices, determinants, inverses Jeremy Gunawardena Department of Systems Biology Harvard Medical School 200 Longwood Avenue, Cambridge, MA 02115, USA jeremy@hms.harvard.edu 3 January 2006 Contents 1 Introduction 1 2 Systems of linear equations 1 3 Matrices and matrix multiplication 2 4 Matrices and complex ...

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