Alla The vectors are linearly independent if and only if k # 2 ū= ···· v= -4 + k 7 -2 -18 W 2 3 -10

Q: 1 4 7 Determine whether the set of vectors 2 3 6 9 is linearly dependent or not. If so, find a way…

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Q: Let A = [a₁ a2 a3 a4], and suppose that x = (4, -7, 9, 1) is in null(A). Write a4 as a linear…

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Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

A: Given S={ s1 = (2,-1,3),   s2 =(5,0,4)} a) To write (-1,-2,2) as linear  combination of s1 and s2

Q: If possible, find a linear combination of the form w = a₁v₁ + a₂V₂ + a3V3 where v₁ = (2, -1, 4), V₂…

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Q: The vectors 3 -4 3 = 12 w = -8 5 -23 + k 7 are linearly independent if and only if k +

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Q: a) Use the dot product to verify the type of angle connecting the vectors and y (acute, right or…

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Q: Determine if the vector 2 b = 3 5 can be written as a linear combination of the vectors V₁ = 1 and…

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Q: 3 3. Let V = 5. Find vectors b₁, 62, 63 such that is a linear combination of b₁, b₂, b3. Additional…

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Q: Express the vector x as a linear combination of u,, u2, and uz. – 2 3 - 2 ,x = 0 u2 = 5 u3 = – 4 u1…

A: Given u1=-201, u2=356, u3=-26-4 and x=-99-38

Q: V2 3 V3 Write w as a linear combination of v,., V4 in two different ways. Don't leave any fields…

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Q: Let 52D If possible, express w as a linear combination of the vectors 71, 02 and 3. Otherwise, enter…

A: We have to write w as a linear combination of v1 , v2 and v3.

Q: Defermine if the set of vectors is limerdy indepandat. 3. -5 3 マ -4 3.8/10

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Q: What are the values of h for which the vectors are linearly dependent? HEE 7 O a. The vectors are…

A: Given vectors are linearly dependent if

Q: 6. Write as a linear combination of the vectors

A: solving by linear combination of the given three vectors by converting into syatem of equation...

Q: 2v1 +3V2 + V3 V4 +5V5 (V3 and V4 are multiplied) is a linear combination of the vectors V1, V2, V3,…

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Q: Find the image of the vector = (1,2) by rotating it 30° counter-clockwise and scaling it by a factor…

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Q: a. Write the vector (-4,-8,6) as a linear combination of a₁ = (1,−3,−2), ẩ₂ = (-5, -2,5) and a3 =…

A: The given vectors  and .(a) The aim is to write the vector  as a linear combination of the given…