3 1 1 3 3 2 a. Is w in {V₁, V₂, V3}? How many vectors are in {V₁, V₂, V3}? b. How many vectors are in Span{V₁, V₂, V3}? c. Is w in the subspace spanned by {V₁, V₂, V3}? Why? Let v₁ = 1 2 12 V3 = and w= a. Is w in {V₁, V₂, V3}? O A. O B. Vector w is in {V₁, V₂, V3} because it is a linear combination of V₁, V₂, and V3- 1: Vector w is not in {V₁, V₂, V3) because it is not vV₁, V₂, or V3. 11 OC. Vector w is in {V₁, V₂, V3} because the subspace generated by V₁, V₂, and V₂ is R³ 1: O D. Vector w is not in {V₁, V₂, V3} because it is not a linear combination of V₁, V2, and V3.

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A:

Q: 6. Determine if the vectors vị = (1, -1,3, –1), v2 = (1, –1, 4, 2), v3 = (1, -1,5, 7) dependent or…

A: We have to find that given vectors are linearly dependent  or linearly independent.

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Q: . Show that the vectors = (0, 3, 1, -1); v, =(6, 0, 5, 1); v, = (4, -7, 1, 3) form a linearly…

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A: a). b).

Q: 5а+ 2b Decide whether the set of all vectors of the form is a subspace of R³ or a

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Q: if W is the subspace spanned for the 3 vectors, find the sets that serve as a basis for W choices:…

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A: To show whether W is the subspace or not.

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Q: 8.) Find a vectorx such that 5x-2v=2(u-5x) SOLUTION

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Q: -6 -0-0-0-8 9 6 Let v₁ = -3 4 3 = 1. Is w in {V1, V2, V3}? Type "yes" or "no". 13 9 and w= 6 10 4.…

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Q: Suppose a and b are vectors such that axb=(1,

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A: Let us find the projections.

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A: We have to solve given problem:

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Q: 1. Let V₁, V2,...,Vn be n vectors in a vector space V. Explain what it means to say that these…

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