Problem 110. Make an N-dimensional Multiplication Table

INSTRUCTIONS

This is a multi-dimensional variant of the normal multiplication table used to teach elementary students multiplication. In this variant, we are going to produce a table that multiplies the divisors 1 to n (input) agains itself in d dimensions.

Note: Inputting d = 0 should return the number 1 and d = 1 should return a column vector with the elements 1 to n.

Example:

Input:

n = 3;
d = 3;

Output:

tt(:,:,1) = [ 1  2  3
              2  4  6
              3  6  9  ];
tt(:,:,2) = [ 2  4  6
              4  8  12
              6  12 18 ];
tt(:,:,3) = [ 3  6  9
              6  12 18
              9  18 27 ];