Gaussian Elimination or LU

How can i solve this problem?

A=[-1 1 0 0;1 -2 1 0;0 1 -2 1;0 0 1 -1]

and B=[10; 0; 0; -10]

Ax=B

Whats x ?

Answer 1

[Shashank Prasanna]

determinant of A is zero, there can be infinite solutions.

One of the infinitely many solutions is the following:

x = pinv(A)*B

of course

x + c*null(A)

for any c are all solutions of the above system.

Answer 2

[Meysam Mahooti]

https://www.mathworks.com/matlabcentral/fileexchange/73485-gaussian-elimination

https://www.mathworks.com/matlabcentral/fileexchange/73481-lu-decomposition