How to Create Pascal's Triangle in MATLAB using nested for loop | MATLAB Example | Quick Answerz

How to Create Pascal's Triangle in MATLAB using nested for loop

In mathematics, Pascal's triangle is a triangular array of the binomial coefficients that arises in probability theory, combinatorics, and algebra. This tutorial will address "How to create Pascal's Triangle using nested for loop in MATLAB".

MATLAB Built-in Command

• pascal --- Pascal matrix

Command in MATLAB

A = pascal(4)

OUTPUT

  A = 4×4

     1     1     1     1
     1     2     3     4
     1     3     6    10
     1     4    10    20
     

Similarly, Pascal's Triangle can also be generated using nested for loop. Below is an example for \(n=6\).

Code in MATLAB

n = 6;
% Declare a Zeros Matrix
PT = zeros(n);
% Nested For Loop to create Pascal Triangle
for i = 1:n
    PT(i,1) = 1;
    for j = 2:i
        PT(i,j) = PT(i-1,j-1)+PT(i-1,j);
    end
end
% Display the generated matrix
disp(PT)

OUTPUT

     1     0     0     0     0     0
     1     1     0     0     0     0
     1     2     1     0     0     0
     1     3     3     1     0     0
     1     4     6     4     1     0
     1     5    10    10     5     1

Video Tutorial

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