Given a vector x, construct in Python the following matrix:

Here, xi are the components of the vector x (numbered from zero). Given a vector y, solve in Python the linear equation system Va = y. Let the components of a be denoted by a_y, i = 0, …, 5. Write a function poly, which has a and z as input and which computes the polynomial:

Plot this polynomial and depict in the same plot the points (x_i, y_i) as small stars. Try your code with the vectors:

• ·         x = (0.0, 0.5, 1.o, 1.5, 2.0, 2.5)
• ·         y = (-2.0, 0.5, -2.0, 1.0, -0.5, 1.0)

V ||