How do you create a pascal matrix in matlab without the built in function?

Well the conventional way is to do it with while or for loops, however since matlab works so quick with matrices and vectors I decided to show you another approach. Treat i and j as matrices, and perform matrix operations on them. The variable 'i' will be a matrix of all the row numbers, and the variable 'j' will be the column numbers. The factorial function will perform the element by element factorial, so its a pretty simple problem. The program is below. %Matlab Code: %Prompt user for matrix size 'n' n = input('Enter size of pascal matrix. \n'); %Initialize vector from 1 to n. Use to compute i,j a = 1:n; %Create j (The column numbers) j = ones(n,1)*a; %Flip j to create i (The row numbers) i = j'; %Calculate Pij = (i + j - 2)!/(i - 1)!(j - 1)! p = factorial(i + j - 2)./(factorial(i - 1).*factorial(j - 1)); %Echo p p

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write the following program in the script file: clear all clc n=input( please entre the size of pascal matrix ); for i=1:n for j=1:n P(i,j) = factorial(i+j-2) / (factorial(i-1) * factorial(j-1)); end end P run the file and you are there :) good luck