Show that the set is linearty dependent by finding a nontrivial inear combination of vectors in the set whose sum is the zero vector. (Use , and y, respectively, for the vectors in the set.) S (1, 2, 3, 4). (1, 0, 1, 2). (2, 6, 6, 10)) (0, 0, 0, 0) Express the vector y in the set as a linear combination of the vectors and s.

Q: Q11: Let vector v = (-7, 5) and vector w=(2, 2). Write vector v as the sum of two orthogonal…

A:

Q: Write each vector as a linear combination of the vectors in S. (Use s, and s2, respectively, for the…

A:

Q: Find all vectors u such that ux(1,1,1)=(8,-5,-3).

A:

Q: Let {u₁, 12, 13} be a linearly independent set of vectors. Select the best statement. {u₁, U2, U3,…

A:

Q: Use the function to find the image of v and the preimage of w. T(V1, V2, V3) = (4v2 – V1, 4v, +…

A:

Q: 3. Determine if the vectors work. -2 are linearly independent. Show all 0 1

A: Step 1:The given vectors are: ⎣⎢⎡​1−23​⎦⎥⎤​,⎣⎢⎡​111​⎦⎥⎤​ and ⎣⎢⎡​0−11​⎦⎥⎤​ To determine whether the…

Q: Determine if the vectors vị = (1, –1,3, –1), v2 = (1, –-1, 4, 2), v3 = (1, –1,5, 7) are linearly…

A: We have to determined the vectors v1=(1, -1, 3, -1), v2=(1, -1, 4, 2), v3=(1, -1, 5, 7) are linearly…

Q: Let ū = (3,2), v = (-2, –2), and w = (-4,3). Find the vector x that satisfies 5u – v +x = 7x + w. |…

A: Given that u→=3,2v→=-2,-2w⇀=-4,3

Q: Use the function to find the image of v and the preimage of w. T(V₁, V2, V3) = (4V2 V₁, 4v₁ + 5v₂),…

A: