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SYSTEMS OF LINEAR EQUATIONS

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The document discusses systems of linear equations, which are collections of linear equations involving multiple variables. The primary focus is on understanding the nature of solutions to these systems, including whether they have no solution, a unique solution, or infinitely many solutions. The document also introduces the concept of equivalent systems, which are systems that share the same solution set.

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Institution
University Of California - Berkeley
Course
Math 54 (MATH54)

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SYSTEMS OF LINEAREQUATIONS




fi
t
a x D



x
p
ib i s x
x I
y
X2 x 3

73 1 X 72 0



DEFINITION A linear equation in n variables is an equation
in the form


A X t Az ta t t an Xu b

Asystem of linear equations linear systems in a variable
is a finite collection of linear
eq

Ante t t An Xn be
Are a t t An Xu be

Amex t t Amn Xu Dm
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Institution
University Of California - Berkeley
Course
Math 54 (MATH54)

Document information

Uploaded on
March 15, 2025
Number of pages
4
Written in
2022/2023
Type
Class notes
Professor(s)
Lin lin
Contains
Lec 1 - systems of linear equations

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