Produce the two plots in Fig. 6.4. Investigate the ill-conditioning by, first, evaluating the condition number of the Vandermonde matrix and, second, defining the Chebyshev points without the minus in...

Produce the two plots in Fig. 6.4. Investigate the ill-conditioning by, first, evaluating the condition number of the Vandermonde matrix and, second, defining the Chebyshev points without the minus in front (i.e., in opposite order) and comparing the zoomed-in plots. . Build intuition on equispaced vs Chebyshev nodes by plotting the cardinal polynomials for n = 10. What do you observe regarding their magnitude?