Solving Linear System of Equations.

Hi ppl

I was wondering how to solve this particular one without any manipulations or simplifications! Assume the coffs are given to a computer and it has to solve it!

Please find the system of the equations, my attempt to solve it and the answer in the image ;)

a=[7 -10 -1; -14 15 0; 6 15/14 3]
b=[0;0;0]

Thanks

[Salaheddin Hosseinzadeh]

I'm still waiting for more answers plz!

[Walter Roberson]

I am not clear on what more you are looking for? The null space is the solution.

[Salaheddin Hosseinzadeh]

@ Walter

Is null space the only solution?

Answer 1

[Salaheddin Hosseinzadeh]

With many thanks to Mischa I find a solution for this homogeneous system of equations using

   null(a,'r')

gives a perfect zero

Answer 2

[Mischa Kim]

Salaheddin, the rank of a is 2, one solution (by inspection) is, e.g.

 15/14*a(:,1) + a(:,2) - 2.5*a(:,3)

You could also use the null space of a to find a solution

 x = null(a);
 a*x
 ans =
   1.0e-14 *
  -0.099920072216264
   0.177635683940025
   0.044408920985006

[Salaheddin Hosseinzadeh]

@ Dear Mischa :)

Thanks for your help, I think you were almost there, I just used your hint and made it even better. I don't know what's the difference between these two commands ATM, hopefully someone going to explain to me here or I'll find it someday somehow! lol ;)

Thanks a lot.