APPENDIX A NUMERICAL METHODS

A.1 SOLVING LINEAR SYSTEMS

The general form of an m × n system of linear equations is

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Frequently, linear systems are written in matrix form:

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The matrix A is referred to as the coefficient matrix, and the matrix

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is known as the augmented matrix.

A.1.1 SPECIAL CASE: SOLVING A TRIANGULAR SYSTEM

In order to introduce a general method for solving square linear systems, let’s look at a special case: that of a triangular ...

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