For this assignment, the function will take in a matrix of unknown size. Write a

Question

For this assignment, the function will take in a matrix of unknown size. Write a function that returns false(0) if any edge value is a zero. Otherwise, return a matrix or size equal to the original matrix that has a zero for any non-zero position or the largest number that is adjacent (in contact) to a zero.

Example:

Instructions: To solve this problem, modify the template bellow with your code. Leave the names of the function and variables unchanged. Also maintain the names of the sub-functions. Otherwise your code will not pass the test. (In MatLab)

Explanation / Answer

The Matlab code

function matout = nearZero(matin)
[C,R] = size(matin); % getting the size of the matix
% Checking any zeros in the edge
for k = 1:R
      if(matin(1,k) == 0 || matin(C,k) == 0)
          matout = false(0);
          return
      end
end
for k = 1:C
      if(matin(k,1) == 0 || matin(k,R) == 0)
          matout = false(0);
          return
      end
end
% If there is no zero
matout = zeros(C,R); % Create a matrix ofclc zeros
I = find(matin == 0); % Get the index of zeros in the matin
% Replace the zeros in the Index I with max adjacent number
matout(I) = max([matin(I+1);matin(I-1);matin(I+R);matin(I-R)]);
end

Checking the code

>> A = [1,2,0,4;4,0,6,3;1,3,0,4;8,2,5,3]

A =

     1     2     0     4
     4     0     6     3
     1     3     0     4
     8     2     5     3

>> nearZero(A)

ans =

     []

>> A = [1,2,3,4;4,0,6,3;1,3,0,4;8,2,5,3]

A =

     1     2     3     4
     4     0     6     3
     1     3     0     4
     8     2     5     3

>> nearZero(A)

ans =

     0     0     0     0
     0     6     0     0
     0     0     6     0
     0     0     0     0

>>

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