Please provide r code for the following tasks;

Task 1: Construct three artificial vectors of size 27 named 1, 2, and 3.

Task 2: Construct an artificial error term with () = 0 and () = 2.9.

Task 3: Construct an artificial response vector with parameters given below: = 4.3 + 0.21 + 7.62 3.93 + Task 4: Define all necessary vectors and matrices to vectorize the equation above into the form: = +

Task 5: Obtain the singular value decomposition of the matrix .