ANSWER WITH MATLAB CODE ONLY, NO OTHER PROGRAMMING LANGUAGES

Write a function getpythogorean(N) that returns all of the positive integer numbers that satisfy the following property:

x^2+y^2=z^2

where x,y,z are positive integers x<y<zN. Your function should return a 3-column matrix where each row contains numbers x,y,z satisfying the above constraints. The rows must be in increasing order of z. Do not use any loops to solve this problem. Hints: meshgrid, reshape, elementwise and, logical indexing, it takes four statements to solve this problem.

THE CORRECT ANSWER WILL RETURN THE FOLLOWING OUTPUTS EXACTLY:

>> getpythogorean(11) ans = 3 4 5 6 8 10 >> getpythogorean(20) ans = 3 4 5 6 8 10 5 12 13 9 12 15 8 15 17 12 16 20