Let A be a 3 x 4 matrix, let y and y be vectors in R, and let w y y Suppose y Ax and y Ax for some vectors x and x 2 in R 4 What fact allows you to conclude that the system Ax w is consistent

Question: Let A be a 3 x 4 matrix, let y and y be vectors in R, and let w = y + y. Suppose y

Let A be a 3 x 4 matrix, let y₁ and y₂ be vectors in R³, and let w = y₁ + y₂. Suppose y₁ = 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?

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