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Function: Compare each Element of 2 Matrix for zero and non-zero

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Hi All,
I am looking at writing a function for the below set of constraints.
We start with a matrix, Z
We want to compare zero and non-zero elements of Z and Z^2.
Hence, need to write a function that will return:
- True if all non-zero elements in a Matrix, Z^2, are accompanied by non-zero (true) elements at the same locations in matrix Z.
As an example:
Z = [1,0,1;1,1,1;1,0,1]
Z^2 = [2,0,2;3,1,3;2,0,2]
From this, we can see if we compare Z and Z^2 by element, all non-zero elements of Z^2 are accompanied by non-zero in Z.
Hence, the function, would be TRUE.

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Accepted Answer

JESUS DAVID ARIZA ROYETH
JESUS DAVID ARIZA ROYETH on 7 Dec 2019
Z = [1,0,1;1,1,1;1,0,1]
Z_2 = [2,0,2;3,1,3;2,0,2]
answer=sum(sum(Z_2(Z==0)))==0;%1 if it is true

  1 Comment

Xenofon Antoniou
Xenofon Antoniou on 7 Dec 2019
Hi Jesus,
These are generic matricies and not saved in the workspace.
Ideally it would be written as a function.
function answer = ABC(Z)
answer=sum(sum(Z^2,(Z==0)))==0;
end

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