In class, we derived the following matrix equation that must be solved to gen erate cubic spline interpolation 2 U2 3 Zn-1 Un-2 Un-1 (Here the blank entries in the matrix indicate these entries are equal to 0.) a) To form the natural cubic spline, we set zo = 0 and Zn-0 in (1), obtaining U1 U2 3 3 n-3 Wn-2 Zn-2 Un-2 n-2 Un-1 Write Matlab code to solve (2) (using your tridfun.m function), thus deter- mining the spline pieces Si(x), and thus the entire spline S(x) Your code should then prompt the user for a number p and return the value S(p). Ifp is out of range, your program should say so. Finally, produce a Matlab plot of the graph of S(x). Have the spline itself as a solid green curve with the data points as magenta circles In class, we derived the following matrix equation that must be solved to gen erate cubic spline interpolation 2 U2 3 Zn-1 Un-2 Un-1 (Here the blank entries in the matrix indicate these entries are equal to 0.) a) To form the natural cubic spline, we set zo = 0 and Zn-0 in (1), obtaining U1 U2 3 3 n-3 Wn-2 Zn-2 Un-2 n-2 Un-1 Write Matlab code to solve (2) (using your tridfun.m function), thus deter- mining the spline pieces Si(x), and thus the entire spline S(x) Your code should then prompt the user for a number p and return the value S(p). Ifp is out of range, your program should say so. Finally, produce a Matlab plot of the graph of S(x). Have the spline itself as a solid green curve with the data points as magenta circles