How to get certain value from matrix multiplication?

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Jenjen Ahmad Zaeni 2022-1-17

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评论： James Tursa 2022-1-17

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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     0     0     0     0     1
   0     1     0     1     1     0
   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.

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James Tursa 2022-1-17

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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