Question

Generate the first ten rows of Pascal triangle using MATLAB. Post code in the response

Answer 1

MATLAB Code to generate first ten rows of Pascal traingle :

function pt = pascal_triangle(n) 

% first two rows of pascal traingle are constant
pt(1, 1) = 1;
pt(2, 1 : 2) = [1 1]; 

% If less or equal to 2 rows are requested, then we already created them and hence return.
if n < 3
    return
end 

for r = 3 : n
    % first element is 1
    pt(r, 1) = 1;   

    % In pascal triangle every element is the addition of the two elements
    % present on  the top of it. 
    for c = 2 : r-1
        pt(r, c) = pt(r-1, c-1) + pt(r-1, c);
    end   

    % last element of each row is 1
    pt(r, r) = 1;
end

end

EXAMPLE :

INPUT: first ten rows of pascal triangle

OUPTUT :   ( NOTE :  The zeros which appears in the ouput occurred naturally when we changed the row in our MATLAB program )