Suppose a subspace is spanned by the set S of vectors shown. Find a subset of S that forms a basis for the subspace, using the method of transforming a matrix to echelon form, where the columns of the matrix represent vectors spanning the subspace. COL S= A basis is -3 16 80 What is the dimension of the subspace?

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A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…