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. Let S = {(6, 2, 1),(−1, 3, 2)}. Determine, if S is linearly independent or dependent? Let S= {(1, 0, 0),(0, 4, 0),(0, 0, −6),(1, 5, −3)}. Determine, if S is linearly independent or dependent.

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.

Let S = {(6, 2, 1),(−1, 3, 2)}. Determine, if S is linearly independent or dependent?

Let S= {(1, 0, 0),(0, 4, 0),(0, 0, −6),(1, 5, −3)}. Determine, if S is linearly independent or dependent.

Jun 04, 2022