Homework Problem 1, Due Monday February 4. ------------------------------------------ (a) Create a vector V1 of length 120 consisting of 0,1,2,1,0,1,2,1,... (b) Create a numeric vector V2 of length 120 consisting of the values sin(2*pi^2*x) for x= 1, 2, ..., 120. (c) Create a character vector V3 of labels "L", "M", "H" (low, medium and high) where L appears at every index where the V2 value is less than -0.25, M appears at every index where the V2 value falls in [-0.25, + 0.25], and H appears at every index where the V2 value is greater than 0.25. (d) Make a matrix consisting of vectors V1, V2, V3 with column names "Grp","Z","Class" respectively. (Your matrix will contain all entries changed into character-strings.) (e) Make a data-frame out of the same columns V1, V2, V3 as in (d), with the same column headings. But in this part, make sure that columns 1 and 2 of the resulting data-frame remain numeric, while column 3 is of "character" type.