Cody

# Problem 43752. Vandermonde Matrix

Solution 1635008

Submitted on 28 Sep 2018 by Hans Hudyncia
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 1 1 1 1 y = 1 1 1 1 1 1 2 3 4 5 y = 1 1 1 1 1 1 2 3 4 5 1 4 9 16 25 y = 1 1 1 1 1 1 2 3 4 5 1 4 9 16 25 1 8 27 64 125 y = 1 1 1 1 1 1 2 3 4 5 1 4 9 16 25 1 8 27 64 125 1 16 81 256 625 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 y = 1

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

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

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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 y = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 y = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 y = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 27 27 27 27 27 27 27 27 27 27 27 27 27 27 27 y = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 27 27 27 27 27 27 27 27 27 27 27 27 27 27 27 81 81 81 81 81 81 81 81 81 81 81 81 81 81 81 y = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 27 27 27 27 27 27 27 27 27 27 27 27 27 27 27 81 81 81 81 81 81 81 81 81 81 81 81 81 81 81 243 243 243 243 243 243 243 243 243 243 243 243 243 243 243 y = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 27 27 27 27 27 27 27 27 27 27 27 27 27 27 27 81 81 81 81 81 81 81 81 81 81 81 81 81 81 81 243 243 243 243 243 243 243 243 243 243 243 243 243 243 243 729 729 729 729 729 729 729 729 729 729 729 729 729 729 729 y = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 27 27 27 27 27 27 27 27 27 27 27 27 27 27 27 81 81 81 81 81 81 81 81 81 81 81 81 81 81 81 243 243 243 243 243 243 243 243 243 243 243 243 243 243 243 729 729 729 729 729 729 729 729 729 729 729 729 729 729 729 2187 2187 2187 2187 2187 2187 2187 2187 2187 2187 2187 2187 2187 2187 2187 y = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 27 27 27 27 27 27 27 27 27 27 27 27 27 27 27 81 81 81 81 81 81 81 81 81 81 81 81 81 81 81 243 243 243 243 243 243 243 243 243 243 243 243 243 243 243 729 729 729 729 729 729 729 729 729 729 729 729 729 729 729 2187 2187 2187 2187 2187 2187 2187 2187 2187 2187 2187 2187 2187 2187 2187 6561 6561 6561 6561 6561 6561 6561 6561 6561 6561 6561 6561 6561 6561 6561 y = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 27 27 27 27 27 27 27 27 27 27 27 27 27 27 27 81 81 81 81 81 81 81 81 81 81 81 81 81 81 81 243 243 243 243 243 243 243 243 243 243 243 243 243 243 243 729 729 729 729 729 729 729 729 729 729 729 729 729 729 729 2187 2187 2187 2187 2187 2187 2187 2187 2187 2187 2187 2187 2187 2187 2187 6561 6561 6561 6561 6561 6561 6561 6561 6561 6561 6561 6561 6561 6561 6561 19683 19683 19683 19683 19683 19683 19683 19683 19683 19683 19683 19683 19683 19683 19683 y = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 27 27 27 27 27 27 27 27 27 27 27 27 27 27 27 81 81 81 81 81 81 81 81 81 81 81 81 81 81 81 243 243 243 243 243 243 243 243 243 243 243 243 243 243 243 729 729 729 729 729 729 729 729 729 729 729 729 729 729 729 2187 2187 2187 2187 2187 2187 2187 2187 2187 2187 2187 2187 2187 2187 2187 6561 6561 6561 6561 6561 6561 6561 6561 6561 6561 6561 6561 6561 6561 6561 19683 19683 19683 19683 19683 19683 19683 19683 19683 19683 19683 19683 19683 19683 19683 59049 59049 59049 59049 59049 59049 59049 59049 59049 59049 59049 59049 59049 59049 59049 y = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 9 9 9 9 9 9 9 9 9 9 9 9 9 ...

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