ME
–
210
Applied Mathematics for Mechanical Engineers
Prof. Dr. Faruk Arınç
Spring 2010
System of Linear Algebraic Equations
11
1
12
2
1n
n
1
21
1
22
2
2n
n
2
m1
1
m2
2
mn
n
m
a
x + a
x
+ ... + a
x
= b
a
x + a
x
+ ... + a
x
= b
............
a
x + a
x
+ ... + a
x
= b
Consider a system of m
linear
algebraic equations with n unknowns: x
1
, x
2
, ... , x
n
where a
ij
and b
i
are constants.
This system of equations can be written as a single vector-matrix equation as:
[A] [x] = [b]
Coefficient matrix
Column vector of unknowns
Column vector of known values

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