I am not sure if the term "orthogonal complement" is well adapted for my case but here is what I would like to do:
I have a matrix A, not necessary square, and I want to find a matrix B such that:
B^T * A = 0
B^T * B = I (identity)
Here is an example :
The null command returns the null space of the matrix, which is empty.
But here a solution is
I have indeed :
B' * A = [0 0];
B' * B = 1;
Is there a way to find this matrix B for more complex examples ?