Modulo-2 matrix multiplication

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Ronald Niwamanya
Ronald Niwamanya 2021 年 5 月 5 日
コメント済み: Dyuman Joshi 2021 年 5 月 5 日
Hi.
I would like to know whether its possible to have the following multiplication and how it can be perfromed.
a=[1 1];
b=[0 0];
c=[1 0];
X=[a b c];
Y=[1 1 0;1 0 1; 0 1 0];
Z=mod(X*Y, 2);
I am expecting Z=[a+b,a+c,b], the addition is modulo-2 addition. The final output should be Z=[110100];
Thank you.

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Dyuman Joshi
Dyuman Joshi 2021 年 5 月 5 日
size(X) = [1 6];
size(Y) = [3 3];
X and Y are not compatible for multiplcation given their sizes.
You can do something like this -
X = [a;b;c]; %size(X) = [3 2]
Z = mod(Y*X,2);
Z = [1 1; 0 1; 0 0];
Z = reshape(Z,1,[]);
Z = [1 1 0 1 0 0]; %If you want it to be a number and not an array, use polyval(z,10)
  2 件のコメント
Ronald Niwamanya
Ronald Niwamanya 2021 年 5 月 5 日
needed to add transpose on Z, (Z = mod(Y*X,2)') . Thank you very much.
Dyuman Joshi
Dyuman Joshi 2021 年 5 月 5 日
If my answer helped you solve your problem, kindly accept it!

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