Using MatLab. Consider the following set of data points on the xy-plane:
(−2.1, 2.2), (−1.3, 5.1), (0.1, −1), (0.5, 0.1), (1.4, 0.6), (2.0, 1.8). (⋆)

You will need to find a polynomial of degree at most 5 that passes through these 6 points. (Does this polynomial exist? Is it unique?) Please, complete the following steps:

1.Create two row vectors x and y, containing respectively the x and y coordinates of the data points in (⋆).

Variables: x, y

2.Assuming there exits a degree 5 polynomial which passes through the points in (⋆), write down the system of 6 linear equations representing this information, i. e. each equation in the system shows that one of the (x, y) pairs in (⋆) solves a certain degree 5 polynomial. (You don’t need to submit this task.)