Let A be a 3 × 4 matrix, let yl and y2 be vectors in ℝ3, and let w = yl + y2 Suppose yl = Ax1 and y2 = Ax2 for some vectors x1 and x2 in ℝ4. What fact allows you to conclude that the system Ax = w is consistent? (Note: x1 and x2 denote vectors, not scalar entries in vectors.)
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