Part C please Determine if the following set is a vector space under the usual addition and scalar multiplication. If it is, find its dimension. If it is not, answer by NO. Justify your answer. The set of all numbers of the form c_1 e + c_2 pi, where c_1, c_2 Element R^1 All vectors x in R^5 such that |x_1 + x_5| + |x_2 + x_4| = 0 All 3 times 3 matrices such that each such mat has at least one irrational entry. Solution C) Let S denote the set. Since the matrices are of order 3x3 with atleast one irrational entry. As 0 is not an irrational number so the zero matrix is not an element of the given set S. So there is no matrix O in S such that for any A in S O+A=A+O Hence there is no identity element in the given set S Hence it\'s not a vector space.