Let W be the set of all vectors of the form Г4т — 58 — 3t] r – 3s + 4t 3r + 2s + t 4s – 3r with r, s and t real. Find a matrix A such that W = Col(A). A =

Q: Consider the space P2 and consider the vectors B ={ 1 + 2t +2t2, 3+5t +3t2,-2-3t} and C = {1,t,t2}.…

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Q: Three vectors (PQ), (PR), (QR) have been written in matrix form as shown below: 2 -17 PQ1 1 PR = -2…

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Q: ether the set of vectors in P2 is linearly independent o {2 – x - 4x2, 3+ 6x + 2x?, 2+ 10x – 4x?} ||

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Q: |Let j and ū = -4 Write j as the sum of two orthogonal vectors, 1 in 9 Span {u} and 72 orthogonal to…

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Q: Let u = (1,3, 5) and v = (-4,3, –7) be vectors in R3. (a) Find u + v. (b) Express u in terms of the…

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Q: If A = [a1, a2, a3] has as columns the three vectors a1, a2, and a3. What is y = Ax, where x is a…

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Q: Let A be an m x n matrix, v be a vector in R", and c be a scalar. Show that A(cv) = c(Av).

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Q: If possible express the vector v as a linear combination of V1, V2, and V3.

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Q: Let the following vectors be in R³ a = (1,3,-1) b = (-2,1,3) c = (3,2,1) d= (1,-1,2) 12- Find the…

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