If you could answer this in detail please! It is to be done in Matlab

Write a function that interpolates a set of data points using a quadratic spline and outputs a table of coefficients used for the spline fit (a in column 1, b in columns 2, c in column 3) Check to make sure that the same number of x and y data points have been provided (can be any number of data points) Given a set of (xi,yi) points, recall the quadratic spline fit process 1. Given n points, there should be n - 1 total spline polynomials 2. aj is set to the value of f 3. b; is solved from the following system of linear equations: 252-1 2(53-12 2 4 13 0 0ba 1 1bn-2 0 1Jbn 2(fn-1-fn-2) 000 n-1 2-2 fn-n-1 4. C is solved from O, Cn-1 s set to 0 Write a function that interpolates a set of data points using a quadratic spline and outputs a table of coefficients used for the spline fit (a in column 1, b in columns 2, c in column 3) Check to make sure that the same number of x and y data points have been provided (can be any number of data points) Given a set of (xi,yi) points, recall the quadratic spline fit process 1. Given n points, there should be n - 1 total spline polynomials 2. aj is set to the value of f 3. b; is solved from the following system of linear equations: 252-1 2(53-12 2 4 13 0 0ba 1 1bn-2 0 1Jbn 2(fn-1-fn-2) 000 n-1 2-2 fn-n-1 4. C is solved from O, Cn-1 s set to 0