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Introduction
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Linear Algebra
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Matrices over Complex Numbers
Contents
Linear System of Equations
Subsections
Introduction
A Solution Method
Row Operations and Equivalent Systems
Gauss Elimination Method
Row Reduced Echelon Form of a Matrix
Gauss-Jordan Elimination
Elementary Matrices
Rank of a Matrix
Existence of Solution of
Example
Main Theorem
Equivalent conditions for Invertibility
Inverse and the Gauss-Jordan Method
Determinant
Adjoint of a Matrix
Cramer's Rule
Miscellaneous Exercises
A K Lal 2007-09-12
