Suppose S = {r, u, d} is a set of linearly independent vectors. If x = 2r+u+ 5d, determine whether T = {r, u, x} is a linearly independent set. 1. Is T linearly independent or dependent? Select an Answer If T' is dependent, enter a non-trivial linear relation below. Otherwise, enter O's for the coefficients. Or+u+x=0.

Q: Let u4 be a linear combination of {u₁, U₂, U3}. Select the best statement. OA. {U₁, U₂, U3, U4}…

A: Given that, be a linear combination of .The aim is to find the correct statement about the given…

Q: Show that V1, V2, V3 are linearly independent, but V₁, V2, V3, V4 are not. Then express V4 as a…

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Q: Select the best statement.

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Q: Let u = (5,-5, -7) and 7 = (-6, 1, 2). Compute the following: úxv= v X ū= úxu 3 (u xv) = ū × (30) =…

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Q: Let i = (– 3, - 2, 3) and i = (1, – 6, – 7). Compute the following: i xü = i x ủ u X u =

A: Since you have asked a question with multiple parts in a single request, we would be answering only…

Q: 3. Check whether (2, 4) and (1, 2) are linearly dependent or not?

A: Linearly department vectors

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Q: Let a = (2, – 3, – 1) and b = (– 5, – 1, k). %3D %3D - Find k so that a and b will be orthogonal.…

A: Since we have been given that a⇀ = <2, -3, -1> and b⇀ = <-5, -1, k>Our aim is to find…

Q: Let v (k,2k,1) and w (k,-1,-8). For which values of k are v andw orthogonal?

A: Calculation:Since it is given that v and w are orthogonal, v ∙ w = 0.

Q: Suppose v4 = 20 – 02 + 503. Let w = 601 + 202 – 303 – 204. (a) Write w as a linear combination of…

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Q: Let u = = (–3, 3, 5) and v = (−6, −4, −7). Compute the following: ū X x v = v × x ū x ū ū=

A: Please note that as per bartleby guidelines, we need to answer only the first three sub-parts.Kindly…

Q: Let a = (1, – 5, 3) and b = ( – 5, 3, k). | Find k so that a and b will be orthogonal. k =

A: a→=1,-5,3b→=-5,3,k To find: value of k for which both will be orthogonal.

Q: Find w such that 2u + v – 3w = 0. u = (2, 7, 5, 0), v = (-3, 1, W =

A: Addition and subtraction of two vectors: Add or subtract the necessary components to add or subtract…

Q: 1 5 ]v s or fractions.) W = - 3 0

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Q: Let u = (−3,2,1,0), v = (4,7,−3,2), and w = (5, −2, 8, 1). Find the components of −u+(v−4w)

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Q: v1 =[ 2 5 1 ] , v2 =[ − 3 1 − 1 ] , b =[ 11 19 5 ] Show that b is in Span{v1,v2}. Express b as a…

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