-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. Is w in the subspace spanned by {V1, V2, V3}? Type "yes" or "no". 9 2. How many vectors are in {v1, v2, V3}? Enter "inf" if the answer is infinitely many. 3. How many vectors are in Span {v₁, V2, V3}? Enter "inf" if the answer is infinitely many.

Q: Show that the set is linearly dependent by finding a nontrivial linear combination of vectors in the…

A:

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A: The solution is given as

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A: Proceed as shown below

Q: 5. Determine which sets of vectors are orthogonal. (a) 1 ↑ 1 0 -5 2 1 5 -309 (b) -4 2

A:

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Q: Need help with orthogonal vectors.

A: Step 1: Step 2: Step 3: Step 4:

Q: What if the vector v was [ 7, 11, 3]

A:

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A:

Q: Let u4 be a vector that is not a linear combination of {u₁, U₂, U3, }. Select the best statement. ©…

A:

Q: Is w in {V1, V2, V3}? Type "yes" or "no". How many vectors are in {V1, V2, V3}? Enter "inf" if the…

A:

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Q: If V1 = [1 4 0] and V2 = [ -2 0 8], then determine all possible 1x3 row vectors V3 such that the set…

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Q: Find all values of b such that the set of vectors {(1, 1,0), (b, 1,0), (0, 2, 3)} is NOT independent…

A: The given set of vectors:  110 , b10 , 023

Q: 2. a. In each part express the vector as a linear combination of 2+x+4x², p₂ = 1 − x + 3x², and p3 =…

A: