2. Is the set of vectors of the form a subspace of R? Show your proof. La+2b] 3. Show that the vectors v = (0, 3, 1, -1); v, = (6, 0, 5, 1); v; = (4. -7, 1, 3) form a linearly dependent set in R*? 4. Express V1 in number 3 as linear combination of V2 and V3. 5. For which value of x do the following vectors form a linearly dependent set in R -1 (-1 -1 x,

Find a linear mapping G that maps [0, 1] x [0, 1] to the parallelogram in the xy-plane spanned by the vectors (-3,7) and (9,3). (Use symbolic notation and fractions where needed. Give your answer in the form (*, *).) G(u, v) =

5. Determine if the vectors x² + x, 2x²,2x − 3, 9 in P3 are linearly independent or linearly dependent. Do these vectors span P3 ? Explain.

1.4 Please answer these (a,b,). Explain well your calculations and steps! Thank you!!! A)Expresses the vector u = [-2,5,-1] as a linear combination of v = (1,3,0] and w = [8, -9,3]. B)Checks whether the vectors p = [0,4,-3], q = [-2,-4,1] and r = [-1,6, -3) are coplanar. Either to = [-2,-3,2] and b = [0, -4,1]. C)Determines an orthogonal vector to a and b.