find an orthogonal basis and then an othnormal basis for the subspace U of R3 spanned by v1 = (1,1,1), v2=(1,2,4), v3= (1,-3,-4)

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A: Let V be a vector space over a field F. A set S of vectors in V is said to be a basis of V if  (i) S…

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A: NOTE: According to guideline answer of first three subpart can be given, for other please ask in a…

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Q: Find a basis for the subspace of R3 spanned by

A: In this question, we find the basis for the span of subspace S. S={(-1,2,5),(3,03), (5,1,8)}

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Q: 4. (i) Let v1 = 〈1, 2, 0, 3〉 , v2 = 〈4, 0, 5, 8〉, v3 = 〈8, 1, 5, 6〉 and W a subspace of R4 spanned…

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Q: 21 3 Find a basis for the subspace of R³ consisting of all vectors 22 such that 61 - 7x2 - 4x3 = 0.…

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Q: Let W C R" be a subspace and let W- C R" be its orthogonal complement. Let S {u1,..., uk} be an…

A: Please check step 2 for the solution.!

Q: Find a basis of the subspace of IR³ spanned by the following vectors: 3 -3 3 -3 Answer: -3 6 -9 4 2…

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