Let u 1 = (1, 3, 2, 1), u 2 = (2, −2, −5, 4), u 3 = (2, −1, 3, 6). If v = (2, 5, −4, 0), write v as a linear combination of u 1 , u 2 , u 3 . If it is not possible say so. Let V be the set of all...

Let u₁ = (1, 3, 2, 1), u₂
₌ (2, −2, −5, 4), u₃ = (2, −1, 3, 6). If v = (2, 5, −4, 0), write v as a linear combination of u₁
_, u₂, u₃. If it is not possible say so.

Let V be the set of all fifth-degree polynomials with standard operations. Is it a vector space? Justify your answer.

Let V = {(x, y) : x ≥ 0, y ≥ 0} with standared operations. Is it a vector space. Justify your answer.

Jun 05, 2022

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