Determine whether S is a basis for R3. S = {(5, 3, 2), (0, 3, 2), (0, 0, 2)} O sis a basis for R3, O s is not a basis for R3 If S is a basis for R3, then write u = (15, 6, 8) as a linear combination of the vectors in S. (Use s1, S2, and s3, respectively, as the vectors in S. If not possible, enter IMPOSSIBLE.) u =

Q: Find all values of h so that the set of vectors 4 forms a basis for R3? Justify your answer.

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A: Given Data: Let us consider the given data, c 2,-2,1,0,2,-2,2,0,-1d 1,1,1,1,-1,-1,-1,1,-1,-1,-1,1…

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Q: The coordinate vector of the vector (-4,3,1) in the basis B={u= (1,1,1); v = (1,0,1); w= (0,0,1) }…

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Q: Determine whether or not the given vectors in Rn form a basis for Rn a. v1 = (2, 0, 0, 0), v2 = (0,…

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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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Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.