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(1 point) The figure below shows where a linear transformation f maps the three standard basis vectors from its domain. The grids in the figures are unit grids. Vectors with their tip on the grid are in the zy-plane, while vectors with their tip not on integer-coordinate points the grid are not in the ry-plane. fez) fest a. f : Ik > " for k = 3 and n = 2 . The set of vectors { e1, ez, es) is (select all that apply): A. linearly independent B. a basis for the codomain C. a spanning set D. a basis for the domain C. The set of vectors { f(e1), f(ez), f(es) } is (select all that apply): A. a basis for the domain B. a basis for the codomain C. a spanning se OD. linearly independent d. The linear transformation f is (select all that apply) DA. an injection (i.e., one-to-one) B. a surjective., onto) OC. a bijection (i.e., isomorphism) e. Find the matrix for the linear transformation f (relative to the standard basis in the domain and codomain). That is, find the matrix A such that f(x) = Ax. For instance, enter [ [1,2]. [3,4] ] for the matrix a [1,-1,0],[1,2,-2]]