Determine whether the set, together with the standard operations. is a vector space. If it is not. Identity at least one of the ten vector space axioms that fails. The set of all quadratic functions whose graphs pass through the origin. 1) The set {(x, 1/2 x): x is a real number} 2) The set of all 2 x 2 matrices of the form [a c b 0] 3) The set of all 2 X 2 matrices of the form [a c b 1] 4) The set of all 4 x 4 matrices of the form [0 a a a a 0 b b b b 0 c c c c 0] 5) The set of all 3 X 3 upper triangular matrices. C[-1, 1]. 6) The set of all continuous functions defined on the interval [-1, 1]. Let V be the set of all positive real numbers.