3. Matlab problem Solving the interpolation problem using the monomial basis (as above) is notoriously ill-conditioned, in fact it is possible to show K(V) ~ #/4(3.1)". e A better way of interpolating is to use Lagrange interpolation. Use Lagrange interpolation and show with some pictures (i) that you still get the same bad behavior close to the endpoints -1 and 1 (this is a property of the function f(x) and the distribution of the grid points, not of the form of interpolation) but (ii) that the polynomial now interpolates the data points (Li, Yi) for the value of n from the previous problem for which the monomial basis failed