Assume we have only two features in our training dataset that is already classified into class C1 and class C2. The transposes of the feature vectors are given below for each class:

C1: [2 6], [1 1], [3 4], [3 2], [-4 8], [-1 3], [2 2]

C2: [-5 -7], [-2 -3], [-1 -2], [3 -7], [1 -3]

Giving details and derivations, determine the:

(i) number of support vectors from each class

(ii) the support vectors

(iii) the equation of the hyperplanes (straight lines in this case) defining the sides of the margin

(iv) length of the maximum margin

(v) equation of the maximum margin linear classifier.

Write the command that can be used to answer the following questions. (hint: try each out on the system to check your results.) a. find all files on the system that have the word test" as part of their filename. b. search the path variable for the pathname to the awk command. c. find all files in the /usr directory and subdirectories that are larger than 50 kilobytes in size. d. find all files in the /usr directory and subdirectories that are less than 70 kilobytes in size. e. find all files in the / directory and subdirectories that are symbolic links. f. find all files in the /var directory and subdirectories that were accessed less than 60 minutes ago. g. find all files in the /var directory and subdirectories that were accessed less than six days ago. h. find all files in the /home directory and subdirectories that are empty. i. find all files in the /etc directory and subdirectories that are owned by the group bin."