Please using a code in Fortran $.$f$90$ solve:

We have the following table of points $(x,y)$:

It is necessary to know the polynomial of degree $6$ that passes

through those points:

$f(x)=a0+a1x+a2x^2+a3x^3+a4x^4+a5x^5+a6x^6$

a$)$ Pose the system of linear equations that satisfy the

coefficients a$0.$ a$1,...,$ a$6$

b$)$ Solve the system of equations using the upper triangular

matrix conversion method and then the backward substitution method.

c$)$How much are the coefficients worth?