Question 1: Find all the combination of truth values for the compound proposition below (pr(p(pq))) using the following steps: a. Create 3 new functions: a. Negation b. Conjunction c. Disjunction b. Create a new function name compound which is a function of compound proposition (1). The function will call all other function in item 1 above. c. For the result find the truth values for all 8 combinations truth values of p, q, and r. Question 2: a. The transpose of an MN matrix A, denoted A, is the NM matrix obtained from A by converting the rows of A to columns of A. That is, if A=[aij]MN and A=[bij]NM, then the elements satisfy the relation bji=aijfor1iM,1jN. b. The square matrix A of dimension NN is said to be symmetric if A=A. Create 2 new functions name transpose and symmetric. The function transpose will accept any input MN matrix and perform the task in a. Whereas the symmetric will accept any input of square matrix and call function transpose and then identify whether the given matrix is symmetry or not. Test the function symmetric on matrices (i) 174720403 and (ii) 403720174