Hi, please help me with this

Consider the set of vectors {v;};_1 and the vector y given by 10 71 = 1 1 12 = 4 U3 = -2 y = (1) If w = E_cju; for some coefficients {cj}_1, give the system of linear equations (in matrix form) that express the condition wi = yi for i = 1, ...4. (4 points) (2) Give the specific matrix problem that must be solved to determine the coefficients {c;};=1 so that |w - Ull2 is minimized. (4 points) (3) If the matrix of the system in Problem 2 (1) is V, use Gram-Schmidt method to find the QR factorization of V. (Show your work and calculate the factorization by hand) (9 points) (4) Use QR factorization of V to build the system for solving the problem in Problem 2 (2). (4 points)(5) Solve the system you build in Problem 2 (4) using back substitution to calculate coeffi- cients {cj}_1. (4 points)