Data Driven Modeling
&
Scientific Computation

Linear Systems: Chapter 2

Lecture 1: Ch. 2.1

 

Stacks Image 62142

 

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

 

MATLAB COMMANDS

n/a

MATLAB CODE

 

Supplementary Videos

 

Stacks Image 62156
View
Matrix Modeling
Code: file.m

 

Stacks Image 62165
View
Condition numbers 1
Code: file.m

 

Stacks Image 62174
View
Condition numbers 2
Code: file.m

Lecture 2: Ch. 2.1

 

Stacks Image 62184

 

 
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

 

Lecture 3: Ch. 2.1

 

Stacks Image 62199

 

 
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

 

Supplementary Videos

 

Stacks Image 62213
View
Using LU decomposition
Code: file.m
© 2019 kutz