Cody

# Problem 43752. Vandermonde Matrix

Solution 1504023

Submitted on 24 Apr 2018 by William
This solution is locked. To view this solution, you need to provide a solution of the same size or smaller.

### Test Suite

Test Status Code Input and Output
1   Pass
x = 1:5; y_correct = [1,1,1,1,1;1,2,4,8,16;1,3,9,27,81;1,4,16,64,256;1,5,25,125,625]; assert(isequal(vandimat(x),y_correct))

y = 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 y = 1 1 0 0 0 1 2 0 0 0 1 3 0 0 0 1 4 0 0 0 1 5 0 0 0 y = 1 1 1 0 0 1 2 4 0 0 1 3 9 0 0 1 4 16 0 0 1 5 25 0 0 y = 1 1 1 1 0 1 2 4 8 0 1 3 9 27 0 1 4 16 64 0 1 5 25 125 0 y = 1 1 1 1 1 1 2 4 8 16 1 3 9 27 81 1 4 16 64 256 1 5 25 125 625

2   Pass
x = 1; y_correct = 1; assert(isequal(vandimat(x),y_correct))

y = 1

3   Pass
x = ones(1,20); y_correct = ones(20); assert(isequal(vandimat(x),y_correct))

y = 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 y = 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 y = 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 y = 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 y = 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 ...

4   Pass
x = 3.*ones(1,15); y_correct = repmat([1,3,9,27,81,243,729,2187,6561,19683,59049,177147,531441,1594323,4782969],15,1); assert(isequal(vandimat(x),y_correct))

y = 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 y = 1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 y = 1 3 9 0 0 0 0 0 0 0 0 0 0 0 0 1 3 9 0 0 0 0 0 0 0 0 0 0 0 0 1 3 9 0 0 0 0 0 0 0 0 0 0 0 0 1 3 9 0 0 0 0 0 0 0 0 0 0 0 0 1 3 9 0 0 0 0 0 0 0 0 0 0 0 0 1 3 9 0 0 0 0 0 0 0 0 0 0 0 0 1 3 9 0 0 0 0 0 0 0 0 0 0 0 0 1 3 9 0 0 0 0 0 0 0 0 0 0 0 0 1 3 9 0 0 0 0 0 0 0 0 0 0 0 0 1 3 9 0 0 0 0 0 0 0 0 0 0 0 0 1 3 9 0 0 0 0 0 0 0 0 0 0 0 0 1 3 9 0 0 0 0 0 0 0 0 0 0 0 0 1 3 9 0 0 0 0 0 0 0 0 0 0 0 0 1 3 9 0 0 0 0 0 0 0 0 0 0 0 0 1 3 9 0 0 0 0 0 0 0 0 0 0 0 0 y = 1 3 9 27 0 0 0 0 0 0 0 0 0 0 0 1 3 9 27 0 0 0 0 0 0 0 0 0 0 0 1 3 9 27 0 0 0 0 0 0 0 0 0 0 0 1 3 9 27 0 0 0 0 0 0 0 0 0 0 0 1 3 9 27 0 0 0 0 0 0 0 0 0 0 0 1 3 9 27 0 0 0 0 0 0 0 0 0 0 0 1 3 9 27 0 0 0 0 0 0 0 0 0 0 0 1 3 9 27 0 0 0 0 0 0 0 0 0 0 0 1 3 9 27 0 0 0 0 0 0 0 0 0 0 0 1 3 9 27 0 0 0 0 0 0 0 0 0 0 0 1 3 9 27 0 0 0 0 0 0 0 0 0 0 0 1 3 9 27 0 0 0 0 0 0 0 0 0 0 0 1 3 9 27 0 0 0 0 0 0 0 0 0 0 0 1 3 9 27 0 0 0 0 0 0 0 0 0 0 0 1 3 9 27 0 0 0 0 0 0 0 0 0 0 0 y = 1 3 9 27 81 0 0 0 0 0 0 0 0 0 0 1 3 9 27 81 0 0 0 0 0 0 0 0 0 0 1 3 9 27 81 0 0 0 0 0 0 0 0 0 0 1 3 9 27 81 0 0 0 0 0 0 0 0 0 0 1 3 9 27 81 0 0 0 0 0 0 0 0 0 0 1 3 9 27 81 0 0 0 0 0 0 0 0 0 0 1 3 9 27 81 0 0 0 0 0 0 0 0 0 0 1 3 9 27 81 0 0 0 0 0 0 0 0 0 0 1 3 9 27 81 0 0 0 0 0 0 0 0 0 0 1 3 9 27 81 0 0 0 0 0 0 0 0 0 0 1 3 9 27 81 0 0 0 0 0 0 0 0 0 0 1 3 9 27 81 0 0 0 0 0 0 0 0 0 0 1 3 9 27 81 0 0 0 0 0 0 0 0 0 0 1 3 9 27 81 0 0 0 0 0 0 0 0 0 0 1 3 9 27 81 0 0 0 0 0 0 0 0 0 0 y = 1 3 9 27 81 243 0 0 0 0 0 0 0 0 0 1 3 9 27 81 243 0 0 0 0 0 0 0 0 0 1 3 9 27 81 243 0 0 0 0 0 0 0 0 0 1 3 9 27 81 243 0 0 0 0 0 0 0 0 0 1 3 9 27 81 243 0 0 0 0 0 0 0 0 0 1 3 9 27 81 243 0 0 0 0 0 0 0 0 0 1 3 9 27 81 243 0 0 0 0 0 0 0 0 0 1 3 9 27 81 243 0 0 0 0 0 0 0 0 0 1 3 9 27 81 243 0 0 0 0 0 0 0 0 0 1 3 9 27 81 243 0 0 0 0 0 0 0 0 0 1 3 9 27 81 243 0 0 0 0 0 0 0 0 0 1 3 9 27 81 243 0 0 0 0 0 0 0 0 0 1 3 9 27 81 243 0 0 0 0 0 0 0 0 0 1 3 9 27 81 243 0 0 0 0 0 0 0 0 0 1 3 9 27 81 243 0 0 0 0 0 0 0 0 0 y = 1 3 9 27 81 243 729 0 0 0 0 0 0 0 0 1 3 9 27 81 243 729 0 0 0 0 0 0 0 0 1 3 9 27 81 243 729 0 0 0 0 0 0 0 0 1 3 9 27 81 243 729 0 0 0 0 0 0 0 0 1 3 9 27 81 243 729 0 0 0 0 0 0 0 0 1 3 9 27 81 243 729 0 0 0 0 0 0 0 0 1 3 9 27 81 243 729 0 0 0 0 0 0 0 0 1 3 9 27 81 243 729 0 0 0 0 0 0 0 0 1 3 9 27 81 243 729 0 0 0 0 0 0 0 0 1 3 9 27 81 243 729 0 0 0 0 0 0 0 0 1 3 9 27 81 243 729 0 0 0 0 0 0 0 0 1 3 9 27 81 243 729 0 0 0 0 0 0 0 0 1 3 9 27 81 243 729 0 0 0 0 0 0 0 0 1 3 9 27 81 243 729 0 0 0 0 0 0 0 0 1 3 9 27 81 243 729 0 0 0 0 0 0 0 0 y = 1 3 9 27 81 243 729 2187 0 0 0 0 0 0 0 1 3 9 27 81 243 729 2187 0 0 0 0 0 0 0 1 3 ...

5   Pass
x = [1 5 2 4 3]; y_correct = [1,1,1,1,1;1,5,25,125,625;1,2,4,8,16;1,4,16,64,256;1,3,9,27,81]; assert(isequal(vandimat(x),y_correct))

y = 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 y = 1 1 0 0 0 1 5 0 0 0 1 2 0 0 0 1 4 0 0 0 1 3 0 0 0 y = 1 1 1 0 0 1 5 25 0 0 1 2 4 0 0 1 4 16 0 0 1 3 9 0 0 y = 1 1 1 1 0 1 5 25 125 0 1 2 4 8 0 1 4 16 64 0 1 3 9 27 0 y = 1 1 1 1 1 1 5 25 125 625 1 2 4 8 16 1 4 16 64 256 1 3 9 27 81