The Vandermonde matrix is created from the vector 1 2n-1n] T and integer It has uses in polynomial approximation and other areas, and we will formally introduce it in Chapter 12. The function...

The

Vandermonde matrix is created from the vector


₁

<sub>2

n-1

n</sub>]
^T

and integer

It has uses in polynomial approximation and other areas, and we will formally introduce it in Chapter 12. The function vandermonde
in the software distribution constructs the Vandermonde matrix, which is square if

Construct the

Vandermonde matrix using

Compute cond(A) and condest(A).

Construct the
Vandermonde matrix using

Compute cond(A) and condest

Are these matrices ill-conditioned? Is it safe to use these matrices in an application involving Gaussian elimination