Numerical Method. Please solve it with proper steps.

2. Consider the function f(x)=exex and the nodes are at 1,0, and 1 . Now answer the following questions using 3 significant figures: (a) (1 mark) Write down the matrices b and V used in Vandermonde method. (b) (2 marks) Compute the determinant of the Vandermonde matrix V . (c) (3 marks) Using The results of the previous two parts, calculate the Taylor coefficients a0,a1 and a2; and finally find the interpolating polynomial. (d) (4 marks) Evaluate the upper bound of interpolation error for the given function for the interval [2.1,2.1]