(Solution) - Let A be a 3 4 matrix let v1 -(2025 Original AI-Free Solution)

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Let A be a 3 ( 4 matrix, let v1 and v2 be vectors in, and let w = v1 + v2. Suppose v1 = Au1 and v2 = Au2 for some vectors u1 and u2 in. What fact allows you to conclude that the system Ax = w is consistent? {u1 and u2 denote vectors, not scalar entries in vectors.)