Determine whether each of the following scalar-valued functions of n-vectors is linear. Assign Boolean value True or False to the variable provided in the answer cell. Answer True if the statement is linear and False otherwise. (a) The spread of values of the vector, defined as f(x) = maxk*k – mink xk In [ ]: # Answer (Q7a) ans_7a = # YOUR CODE HERE In [ ]: # Assertion cell (97a) – please do not delete or move this cell (b) The difference of the first element and the last, f(x) = x1 – x, In [ ]: # Answer (07b) ans_7b = # YOUR CODE HERE In [ ]: # Assertion cell (07b) – please do not delete or move this cell (c) The median of an n-vector, where we will assume n=2k + 1 is odd. The median of the vector x is defined as the (k + 1)st largest number among the entries of x. For example, the median of (-7.1, 3.2, -1.5) is -1.5. In [ ]: # Answer (070) ans_7c = # YOUR CODE HERE (d) The average of the entries with odd indices, minus the average of the entries with even indices. You can assume that n = 2k is even. In [ ]: # Answer (978) ans_7d = # YOUR CODE HERE In [ ]: # Assertion cell (@7d) – please do not delete or move this cell (e) Vector extrapolation, defined as Xn + (xn – Xn-1), for n > 2. (This is a simple prediction of what Xn+1 would be, based on a straight line drawn through xn and xn-1.) In [ ]: # Answer (978) ans_7e = # YOUR CODE HERE