Suppose M is a 3 x 4 matrix. If the system of equations corresponding to Mx...
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Suppose M is a 3 x 4 matrix. If the system of equations corresponding to Mx = 0 has two free variables, is it possible that the linear transformation x Mx is surjective (recall surjective means onto) or injective (recall injective means one-to-one)? Why or why not? (15 points) Suppose M is a 3 x 4 matrix. If the system of equations corresponding to Mx = 0 has two free variables, is it possible that the linear transformation x Mx is surjective (recall surjective means onto) or injective (recall injective means one-to-one)? Why or why not? (15 points)
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