Hi!
I have a pretty easy problem where I have 6 equations and 6 unknown of the form m*x = 0, where m is a 6x6 matrix and x is a vector of length 6 with the 6 unknown variables. I'm looking for a nontrivial solution to this problem so I use the Nullspace command.
My code is the following
m = {{E^(-I*x*b/2), E^(I*x*b/2), -E^(-I*y*b/2), -E^(I*y*b/2), 0, 0},
{I*x*E^(-I*x*b/2), -I*x*E^(I*x*b/2), -I*y*E^(-I*y*b/2),
I*y*E^(I*y*b/2), 0, 0},
{0, 0, -E^(I*y*b/2), -E^(-I*y*b/2), E^(I*x*b/2), E^(-I*x*b/2)},
{0, 0, -I*y*E^(I*y*b/2), I*y*E^(-I*y*b/2),
I*x*E^(I*x*b/2), -I*x*E^(-I*x*b/2)},
{E^(-I*x*(a + b/2)), E^(I*x*(a + b/2)), 0, 0, 0, 0},
{0, 0, 0, 0, E^(I*x*(a + b/2)), E^(-I*x*(a + b/2))}}
ns = NullSpace[m]
This gives me the output { }. What does this result mean? All the coefficients x,y,a,b are real and greater than zero. Is that something that I should specify in the code? I wonder what is wrong with my code?
I've attached my code to this post.
Thanks in advance!
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