Question 2. Let M: {(3) '2) :a,b,c e a} and N: {(3 E03124; en}. (a) Prove that Mi and N are subspaces of12x2(R). A sequence u1,u2,. . .uk of elements of a vector space is said to be linearly dependent if there exist scalars (11,. . .,ak not all zero such that a1u1+- - -+akuk = 0. A sequence 111, . . . ,uk is said to be linearly 2 1 independent if it is not linearly dependent. For example, (2) , (2) , (U) is linearly dependent because @++(2> while (1) ,