# A function called small_elements that takes as input an array named X that is a matrix or a vector. Could you help me to understand the meaning?

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Emmanuel Vidales on 28 Aug 2017
Edited: Stephen23 on 7 Feb 2019
Write a function called small_elements that takes as input an array named X that is a matrix or a vector. The function identifies those elements of X that are smaller than the product of their two indexes. For example, if the element X(2,3) is 5, then that element would be identified because 5 is smaller than 2 * 3. The output of the function gives the indexes of such elements found in column-major order. It is a matrix with exactly two columns. The first column contains the row indexes, while the second column contains the corresponding column indexes. For example, the statement indexes = small_elements([1 1; 0 4; 6 5], will make indexes equal to [2 1; 1 2; 3 2]. If no such element exists, the function returns an empty array.
I'm not native english speaker so I can't understand very well. My question is..why the function returns a "3"?

Walter Roberson on 28 Aug 2017
For a 3 x 2 input named x, the logic is like
if x(1,1) < 1*1
disp([1, 1])
end
if x(1,2) < 1*2
disp([1, 2])
end
if x(2,1) < 2*1
disp([2, 1])
end
if x(2,2) < 2*2
disp([2, 2])
end
if x(3, 1) < 3*1
disp([3, 1])
end
if x(3, 2) < 3*2
disp([3, 2])
end

RAMAKANT SHAKYA on 7 Feb 2019
function ind=small_elements(v)
[m,n]=size(v);
j=0;
ind=[];
for c=1:n
for r=1:m
if (r*c) > v(r,c)
j=j+1;
s=[r c];
end
end
end
end
Stephen23 on 7 Feb 2019
Edited: Stephen23 on 7 Feb 2019
Vectorized code is much simpler and most likely more efficient:
>> X = [1,1;0,4;6,5]
X =
1 1
0 4
6 5
>> S = size(X);
>> [R,C] = find(X<((1:S(1)).' .* (1:S(2))));
>> Z = [R,C]
Z =
2 1
1 2
3 2