1. Consider the following four vectors in R5.Let U==10202-14·√303200span {V₁, V2, V3, V4 }.For the purposes of this exercise (and only this one), if you need to row-reduce a matrix, you can have acomputer do it and just write down the RREF, as long as you mention the resource(s) you used.(a) Let = [4 5 8 0 -7]. Determine whether 6 € U. Explain your reasoning.(b) Determine whether ₁ € U. Explain your reasoning.(c) Find a 5 × 3 matrix A such that im(A) = U, and explain how you know your choice works.Hint. For this and the next part, you may find the result you proved in Written Assignment 1 useful.(d) Find a 5 × 5 matrix B, which has no columns of all zeroes, such that im(B) = U, and explain how youknow your choice works.51

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1. Consider the following four vectors in R5. Let U = V₁ = span {V₁, V2, V3, V4}. 0 2 0 V₂ = 2 -1 2 0 2 V3 = 3 2 0 0 3 V4 = 2 4 For the purposes of this exercise (and only this one), if you need to row-reduce a matrix, you can have a computer do it and just write down the RREF, as long as you mention the resource(s) you used. (a) Let 6 = [4 5 8 0 -7]. Determine whether 6 € U. Explain your reasoning.