Page 10 - NUMERICAL METHOD

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GAUSS ELIMINATION METHOD

Gauss elimination is a method for solving system of linear
equations in matrix form of = . It involves row reduction
algorithm where a sequence of operations is performed on the
corresponding augmented matrix. Let’s see an example on how the
whole process of elimination work until the solution is derived.

EXAMPLE 1

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Using Gaussian Elimination Method, write the value of , and .

+ 2 + 3 = 5 Tips:
Rearrange the
3 − + 2 = 8
equation in , and
order.
−6 – 4 + 4 = −2

Solution :
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STEP 1 :
Rearrange the equation and write in the form of × = .

× =

1 2 3 5

3 −1 2 × = 8
4 −6 −4 −2

STEP 2 :
Compose the "augmented matrix equation“

C1 C2 C3 Tips:
R1 : Row 1
R2 : Row 2
R1 1 2 3 5 R3 : Row 3
C1 : Column 1
R2 3 −1 2 8 C2 : Column 2
R3 4 −6 −4 −2 C3 : Column 3