random matrix A:

     0.84     0.394     0.783 
    0.798     0.912     0.198 
    0.335     0.768     0.278 
random vector b:

    0.554     0.477     0.629 
solution x to system A*x=b:

   -0.411     0.712     0.789 
check: A*x (should be equal b):

    0.554     0.477     0.629 
B=

    0.383      1.86      -2.4 
   -0.587     -0.11      1.73 
     1.16     -1.94       1.7 
A^-1*A=

        1         0  1.11e-16 
-1.11e-16         1         0 
-1.11e-16 -2.22e-16         1 
A*A^-1=

        1  6.66e-16 -1.11e-15 
 5.55e-17         1 -5.55e-16 
        0  1.11e-16         1