Consider linear transformation F: R4 → R³ given by a) b) c) d) F(w, x, y, z)=(w-3x+2y-z, x−y+z, w+y−z) Find the standard matrix A for the transformation F. Find the basis kernel of F. Find the nullity (F) and rank (F). Is F one-to-one? Give a reason for your answer.

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