In each part below, use Python to create the matrix A, described by its effect on an arbitrary vector x as y= Ax. Check that the matrix you create has the correct behavior when it multiplies a randomly generated vector X. (a) x is a 5-vector, y=x1:3. (6) x and y are 4-vectors; y has the entries of x in reverse order. (c) x is a 4-vector, and y is the 3-vector of differences of consecutive entries of x: y=(x2-xl, x3 - x2, x4 x3)) = x2:4-x1:3. (d) x and y are 4-vectors, and yi is the difference between xi and the average of the other 3 entries of x. For example, y2 =x2-(x1 + x3 + x4)/3