Solve if the following vectors is a basis: 1. Ả = in – 3iz + 2i3 B = 21₁ 41₂ - 13 C = 3i₁ +21₂ - 13 2. 3. 2A-3B + C 3A 5B + 2C 4. 4A-5B + C

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A: Solution :-

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Q: .

A: For part (a): According to the given information, it is required to calculate

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A: Linear Combination:       A vector V is called a linear combination of vectors   v1, v2, . . ., vn…

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A: Introduction: The graph of a system of two equations in two variables (x and y) is a pair of lines…

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A: The given vectors A1=-4, 3, A2=13, 5, and A3=12, 13. We have to find the values of a) A1, A2, A3 b)…

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Q: 2. a. In each part express the vector as a linear combination of 2+x+4x², p₂ = 1 − x + 3x², and p3 =…

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Q: Find a subset of the vectors that forms a basis of their span: (i) vi = (-1,1, -2,1), v2 = (2,-2,…

A: For (i), Notice that v2=2, -2, 4, -2=-2-1, 1, -2, 1=-2v1. So, the subset of the vectors that form a…

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