Let v = Basis = 0 2 u= and let W be the subspace of R4 spanned by v and u. Find a basis of W. To enter basis into WeBWork, place the entries of each vector inside of brackets, and enter a list of these vectors, separated by commas. For instance, if your basis is the answer blank. then you would enter [1,2,3],[1,1,1] into preview answers

Q: Given i = (1,3) and w = (15, 6), find the vector –5v+w. Select the correct answer below: O (10, –9)…

A: Vector addition

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Q: Determine whether the vectors (3,0, 3, 6), (6,0, 0, 3), (0,0,3,0),(6,3,9,12) form a basis of R*.

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A: In this question , we will write the 'x' as linear combination of remaining vectors .

Q: If p = a₁ + a₁x + a₂x² and q = bo + b₁x + b₂x² are any 2 vectors in P². Defined function: f(p, q) ==…

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Q: Let y = and u = Write y as the sum of two orthogonal vectors, y, in the span of u, and y, which is…

A: Solution

Q: https://www.youtube.com/watch?v=pE5yxgmXMmQ&t=267s This video was given as a guide

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A: We have to decide whether the given vectors are linearly independent. Then, we can proceed further.

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Q: Problem 10. Consider the following set of polynomials in P₁: S = {1+ 3t² +t³, 1+t+ 2t³ + 3t¹, t+t² +…

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