(: :) Problem 2. Let V be the set of 2 x 2 symmetric matrices A = where a,b,c are real numbers. (1) Verify that V forms a vector space under the standard addition and the scalar multiplication of matrices. (2) If a+b=0, can the resulting set, say Vi, be a subspace of V? Explain why. (3) Give a basis for V and then explain your reason