Gauss Elimination Method (Example 4)

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This video example shows how to solve systems of linear equations using Gaussian elimination method.
Initial problem is the following: we need to solve the next system of three linear equations with three unknowns
2x1+4x2-3x3+2x4=0;
x1-2x2+5x3+2x4=2;
2x2-4x3+5x4=-1;
-2x3+x4=-3.

Math Help: Linear Algebra

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MrSalenist such systems are called indefinite systems, check our video example illustrating such case Gauss Elimination Method (Example 2)

There's no problem if you've obtained zeros in the upper side of the matrix. This means that you'll need to perform less amount of calculations to find the answer

AssignmentExpert

greets from germany and thanks a lot ! <3

Newownz

can I know that from which book this example is ?

Sketching

greets from indonesia, thanks very much

martinusokta

what if there is one more unkowns/variables than the number of equations?

MrSalenist

Q.1 (a) Define function file. List its characteristics (b) Explain () Input and output argument (ii) Structure of a function file (b) What is control statement? Explain the view command and do while. (a) Solve the equation of system by Gauss elimination method 10x1-7x2+3x3+5x4=6 Q.2 -6x1+8x2-x3-4x4=5 3x1+x2+4x3+11x4= 2 5x1-9x2-213+4x4=7 (b) Solve the system of equation by jacobi Interative method 20x1+2x1+6x3 = 28 x 20x2 +9x =-23 2x1-7x2-20x3=-57 (a) Solve the system of equation by Gauss seidel method 2x1-x2+0x3=7 +2r2-3 = 1 Ox-X2+273.=1

Ans . Plz

dharmendraayush

in the above problem why we have to interchange the row 2 and row 3 in the third step

sashasamurai

what if there are zeros in the upper side of the triangle?

MrSalenist

What if you don't have a 1 in the first column of any row? Then how do you start with a 1?

jasonbischoff

Hi can you do a video in Gaussian method for
2 0 1 3 = 0
-1 2 -1 -2 =2
1 -1 0 1 = 2

drankemazaa

Thanks brother nice video, But I struck in the following
2 3 1 -11 1
5 -2 5 -4 5
1 1 3 -3 3
3 4 -7 2 -7

i have simplified upto

1 -1 3 -3 3
0 1 -1 -1 -1
0 0 -1 2 -1
0 0 0 27 0

does this mean that it has no solution

iqraquran

hi can you give me a little bit hint on how to solve this system, i cant find any ideas on how to solve this one!
1 -1 2 -1 -1
2 1 -2 -2 -2
-1 2 -4 1 1
3 0 0 -3 -3

kayjay

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