linear systems Ax=b

LINEAR SYSTEMS OF EQUATIONS: This lecture provides an introduction to linear systems of equations and vector/matrix manipulations

MATLAB COMMANDS

n/a

MATLAB CODE

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Matrix Modeling
Code: file.m

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Condition numbers 1
Code: file.m

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Condition numbers 2
Code: file.m

GAUSSIAN ELIMINATION FOR AX=B: We consider the classic solution technique of Gaussian elimination for solving linear systems of equations.

MATLAB COMMANDS

X=A\B

MATLAB CODE

LU MATRIX DECOMPOSITION FOR AX=B: The work horse for solving linear systems is the LU decomposition, which is considered in detail in this lecture.

MATLAB COMMANDS

LU

MATLAB CODE

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Using LU decomposition
Code: file.m