4. Let H be the set of all vectors of the forms given below. If H is a subspace of R' then find a basis for the vector space, otherwise give an example to show that it is not a subspace. -36 – a За + 2с а + 3b + 2с 5b — Зс : a, b, c are real -

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A: a) Suppose that    be  a  basis  of      Then, which is  a  contradiction.    Hence, is  not a…

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A: The solution is given as

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A:

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A:

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Q: Your answer should be a list of row vectors separated by commas. (Click vector to learn about…

A: We have to find the basis from the given form of vectors.

Q: Let -2 4 -5 A 4 -3 Сл 5 -2 4 -5 A basis for the column space of A is { }. vector

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Q: 21 Find a basis for the subspace of R³ consisting of all vectors 2 such that -81 + 9x2 + 4x3 = 0 13…

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Q: Find a basis of the subspace of R* consisting of all vectors of the form X1 -8x1 + x2 —6х — 2х2 -6x1…

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Q: The set S = {(2a, b, a - b): a, b = R} quos & jonai (o) tails wol2 woled old is a subspace of R³.…

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Q: Let v1=[-2,2,1], v2=[-8,7,4], v3=[-29,25,14], w=[6,6,1] is W in {v1,v2,v3}? how many vectors are…

A: a) Given that v1=-2,2,1,v2=-8,7,4,v3=-29,25,14,w=6,6,1. It is required to find whether w is in…

Q: There are four vectors (1,a,b,c), (1,1,1,1), (1,2,3,1), (3,4,5,3). If the vector space (subspace)…

A: