Problem #4: Let v₁ = (-4, 1, 0, -1), v2 = (0, 1, -4, 1), and b = (1, 7, -1, -6). Let W be the subspace or R4 spanned by v₁ and v2. Find projwb. Problem #4: Enter your answer symbolically, as in these examples Enter the four components, separated with commas.

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A: B=1, -2, 0, -1, 0, 1, 0, 3, 1, 2, 1, 0x=4, 3, -2, -5

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Q: V1 [³] Given a₁ = -4 and a2 V2 || = 5, what vector is formed by the linear combination a₁ V₁ + a2V₂?

A: Here we have to find the linear combination a1v→1+a2v→2 for the given the vectors v→1 and v→2.

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A: Use least square method to solve it

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A: Since you have uploaded multiple questions, according to our guidelines we have solved first…

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A: This is a question of mapping and set theory.

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A: Definition of linearly independent set

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Q: Find the closed form of the generating function for the sequence 2,4, 8, 16, 32, ...

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A: The objective is to find the correct option.