Use the function to find the image of v and the preimage of w. T(V1, V2, V3) = (4v2 – V1, 4V1 + 5v2), v = (4, –1, –-2), w = (2, 13) (a) the image of v t (b) the preimage of w (If the vector has an infinite number of solutions, give your answer in terms of the parameter t.) 2,1,t

Use the function to find the image of v and the preimage of w. T(V1 V₂ V3) = (V₂ - V₁, V₁ + V₂, 2v₁), V = (4, 3, 0), w = (-11, 3, 14) (a) the image of v (b) the preimage of w (If the vector has an infinite number of solutions, give your answer in terms of the parameter t.) Need Help? Read It Determine whether the function is a linear transformation. T: R² R³, T(x, y) = (2x², xy, 2y²) O linear transformation O not a linear transformation Need Help? Watch It Read It Watch It

Do question 3 only

Use the function to find the image of v and the preimage of w. T(V3, V2) = ( V2, V1 + V2, 2v1 - V2 2 v = (2, 2), w = (-6/2, 0, -18) (a) the image of v (0,4,2) (b) the preimage of w (If the vector has an infinite number of solutions, give your answer in terms of the parameter t.) (2,36)