How to get certain value from matrix multiplication?

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Hello everyone, sorry if this is a basic question. I have two matrix
a = [1 0 0 1]
and
b = [1 0 1 1 0 0 0
1 1 0 0 0 0 1
0 0 1 0 1 1 0
1 0 0 0 1 0 1]
I multiply these two using modulo operation, so it will become
c = [0 0 1 1 1 0 1]
What i want to ask is, is it possible to get the exact value of a if have the c first? Something like a reverse operation to find a from c, but i don't know what to do with b. If it is possible, how is the correct way to do that? Thank you.
  1 Comment
James Tursa
James Tursa on 17 Jan 2022
If c is the result of modulo(a*b,2) then there might not be a unique solution. I.e., there might be multiple different a's that would work. How do you plan to deal with that? Or is any a that works acceptable? How large can the dimensions of everything be?

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Answers (1)

Torsten
Torsten on 17 Jan 2022

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