The elements of the symmetric Pascal matrix are obtained from:

$P(i,j)=\frac{(i+j-2)!}{(i-1)!(j-1)!}$

where $i$ is the row index and $j$ is the column index. Write a MATLAB program that asks

the user for the size of the Pascal matrix $(n)$ and creates an $nn$ symmetric Pascal matrix.

Test your program by creating $44$ and $77$ Pascal matrices. You can use MATLAB's

factorial function or if you use your code for factorial from Problem $4,$ you will earn

extra credit for this problem.