In R4 let M be the subspace spanned by the vectors (1, 1, 1, 0) and (0, -4, 1, 5) and let N be the subspace spanned by (0, -2, 1, 2) and (1,-1, 1, 3). One vector which belongs to both M and N is (1, ). The dimension of MnN is and the dimension of M + N is

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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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Q: Find a minimal spanning set for the subspace spanned by the set of vectors: S={, , , }

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Q: Let {v1 = (1,2,3,5,9), v2 = (3,1,2,8,9), v3 = (2, -5,5,9,4)} and {u1 = (0,1,1,1,2), u2 = (0,2, -2,…

A: The given question is related with vector space. Given that , v1 = 1,2,3,5,9 , v2 = 3,1,2,8,9 , v3 =…

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Q: Find a basis for the subspace of R4 spanned by S. S = {(-11, 6, 4, 8), (-6, 3, 2, 4), (-2, 1, 1, 2),…

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Q: Question 1) The dimension of the subspace of P3 consisting of all vectors of the form at³ +bt² + ct…

A: (1) Given: at3+bt2+ct+d, b=2a-5d, c=d+4a ∴abcd=a2a-5d4a+dd            =a1240+d0-511 Therefore the…

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Q: How do you find a basis for a given subspace? May you please throw in an example too?

A: See the attachment.

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Q: 2 Find bases and dimensions for the four subspaces associated with A and B: A = 1 2 4 and B= = 1 24…

A: We will find the bases and dimensions.

Q: Exercises 1. Show that {(1,1,0,0), (1,0, 1, 1)} and {(2,-1,3,3), (0,1,-1,-1)} subspace of R4. span…

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Q: Find a basis for the following subspace of R°: W3D {(aj + 5а2 — 2а3, 2а1+ 6а2 — аз, Зај + 7а2) : ај,…

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Q: Find a basis for the orthogonal complement of the subspace of R spanned by the vectors. v1 = (1,5,…

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