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Find A matrix from Ax = 0

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Arjun M
Arjun M on 7 May 2023
Commented: Torsten on 7 May 2023
I have all the x values. The A matrix is composed of only 1,0 and -1. Can A matrix be found if it is known Ax = 0? I know I'm almost sure A is a unique matrix for this specific case.
  2 Comments
Walter Roberson
Walter Roberson on 7 May 2023
Edited: Walter Roberson on 7 May 2023
I am suspecting Diaphontine Equations...
Are the x values all integers?
How large is the matrix?
Arjun M
Arjun M on 7 May 2023
All x values are not integers. x is a 36x1 matrix, A is a 70x36 matrtix.

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Answers (1)

Steven Lord
Steven Lord on 7 May 2023
Assuming 0 is an appropriately sized vector each element of which is 0, sure. One possibility for A is the appropriately sized all 0 matrix created using the zeros function.
  2 Comments
Arjun M
Arjun M on 7 May 2023
Yeah right hand side is an appropriately sized vector, but A needs to not be a matrix with just zero. It has 1,0 and -1. Can I solve x*A = b, everything appropriately sized, using linsolve or something?
Torsten
Torsten on 7 May 2023
No, for b = 0 you'll always get A = 0 unless you have constraints on A (e.g. row or column sums equal 1 or -1 or something similar).

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