IsVandermonde

Tests if a matrix is a Vandermonde matrix.

Syntax

• IsVandermonde(A[, ε])

  • A is a matrix

  • ε is a positve number

Description

If A is an n×m matrix, then IsVandermonde(A, ε) returns true iff A is a Vandermonde matrix, that is, iff there is a vector v of dimension n such that

A[i, j] = v[i]^(j−1)

for all valid indices i, j. Floating-point comparisons are made with epsilon ε.

Examples

VandermondeMatrix(❨1, 2, 3, 4, 5, 6❩)

⎛   1     1     1     1     1     1⎞
⎜   1     2     4     8    16    32⎟
⎜   1     3     9    27    81   243⎟
⎜   1     4    16    64   256  1024⎟
⎜   1     5    25   125   625  3125⎟
⎝   1     6    36   216  1296  7776⎠

IsVandermonde(ans)

true

See also

• VandermondeMatrix