Suppose a vector w R³ can be written as w = 5v₁ - 3v2 + 7v3, where V₁, V2, V3 are vectors in R³. Which of the following statements must be true? Statement 1: Every vector in R³ can be written as a linear combination of V₁, V2, V3. Statement 2: V2 is a linear combination of w, V₁, V3. Select one alternative: Statement 1 is true, and Statement 2 is true Statement 1 is false, and Statement 2 is false Statement 1 is true, and Statement 2 is false Statement 1 is false, and Statement 2 is true

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