C Language solving systems of linear equations

) pseudo-code writing:

Variable types are usually not written

Operators are consistent with language, and or not

Copy Language A<-b

Content Interchange A<->b

for VAR init to limit by incr do//init assignment var variable if var<limi, then execute, and var = var+incot

End

If Then

Do

else then

Else

End If

　　

1. Theory of the solution of the linear equation group

For a linear equation group

Identification of the solution:

Step1: Elementary Line transformation to row-stepped matrix, Gaussian elimination element

Algorithm:

Step2 Solution:

Algorithm:

Step3: sufficient and necessary conditions for the solution of a linear equation group

　　　　　　　　

STEP4: Number of solutions

1. The unique solution dimension is equal to the number of unknowns, whereas the infinitely multiple solution

2. Homogeneous linear unique solution: 0 vector, Reverse: from the unknown amount () to solve the general solution, the return

3. Non-homogeneous unique solution: direct return, corresponding to the second general solution + Special Solution

Back-generation algorithm:

Program completed, still bad test, upload tomorrow

　　

Latex: Mathematical Symbols

http://blog.csdn.net/ying_xu/article/details/51240291

Learned to write pseudo-code in latex, great, indeed good-looking!

C Language solving systems of linear equations