- Start
- Declare the variables and read the order of the matrix n.
- Take the coefficients of the linear equations as:

Do for k=1 to n

Do for j=1 to n+1

Read a[k][j]

End for j

End for k
- Do for k=1 to n-1

Do for i=k+1 to nDo for j=k+1 to n+1

a[i][j]=a[i][j]-a[i][k]/a[k][k]*a[k][j]

End for j

End for i

End for k
- Compute x[n]=a[n][n+1]/a[n][n]
- Do for k=n-1 to 1

sum=0

Do for j=k+1 to nsum=sum+a[k][j]*x[j]

End for j

x[k]=1/a[k][k]*(a[k][n+1]-sum)

End for k
- Display the result x[k]
- Stop

**Flow Chart:**

PhD researcher at Friedrich-Schiller University Jena, Germany. I'm a physicist specializing in computational material science. I write efficient codes for simulating light-matter interactions at atomic scales. I like to develop Physics, DFT and Machine Learning related apps and softwares from time to time. Can code in most of the popular languages. Like to share my knowledge in Physics and applications using this Blog and a YouTube channel.

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What mean in the flowchart those intermediary OVALS? They are in fact Hexagons?