We are given with the following set of input-output data, where x₁ and x₂ are the input variables and y is the output variable

x1	x2	y
5	10	95
10	5	72
15	11	84
20	17	76
25	16	92

Suppose that we want to model the above data with the model below

y = ax₂+bx₁x₂+cx₁² + d + e, where d is an unknown constant and e is the noise.

a) Write down the matrix structure for this problem using the given model and input-output data.

b) Use either MATLAB or PYTHON and find the coefficients of the model. You must include your codes.