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

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.

Answer 1

[JESUS DAVID ARIZA ROYETH]

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 

[Xenofon Antoniou]

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