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July 3rd, 2015, 01:09 AM  #1 
Newbie Joined: Jul 2015 From: Aalborg Posts: 1 Thanks: 0  Specific solutions in the null space of a complex matrix
Hello, I'm dealing here with the following problem: I have a complex matrix $\displaystyle F$, having size $\displaystyle N \times M$, with $\displaystyle N<<M$. I can easily compute a basis of the null space of $\displaystyle F$, i.e. the space of vectors $\displaystyle x$ such that $\displaystyle Fx=0_v$, where $\displaystyle 0_v$ denotes the $\displaystyle N \times 1$ column vector of all zeros. However, I'm interested to specific solutions of the $\displaystyle Fx=0_v$ problem, i.e. to the vector(s) $\displaystyle x$ such that $\displaystyle \leftx_i\right=1$ for $\displaystyle i=1,...,M$. I'm seeking vectors having constant amplitude. Do you have any insights? Thanks 

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complex, complex matrix, matrix, null, null space, solutions, space, specific 
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