Consider the following vectors {1 + x + x^2, 1 - x^2, x + 2, 1 - x}.a) Test or refute if the vector set is linearly independent?b) Construct a linearly independent set of dimension 2, describe theshape of the generated space.c) Construct a linearly independent set of dimension 3, describe theshape of the generated space.d) For the base you chose in part c), find a linear combination forp (x) = 3 + 11x + 8x^3
