Show that the vectors (x1, Y1) and (x, 2) in V, (F) are linearly dependent if

Q: 1%3D -1 2.

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Q: show that the vectors: 2,3), II

A: To prove that the vectors:     v1=(1, 2, 3), v2=(-2, 1, 1), and v3=8, 6, 10 in ℝ3  are linear…

Q: Which of the following pairs of vectors are linearly independent? Ou = (1,0) and w = (0,2). Ou =…

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Q: Express the vector == 7= Z+ y. -22] 10 as a linear combination of = -(-3) and y=

A: Consider the vector v→=-2210. To express it as linear combination of vectors x→=-4-5 and y→=1-5.…

Q: Determine a vector that is orthogonal to both (1, 4, −1) and (5, 1, 0).

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Q: 1 Y

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Q: Select an answer -3 -7 -10 -9 10 -9 TELE -2 -3 10 8 -4 -5 -1 6

A: Since you have posted a multiple question according to guildlines I will solve first (Q4)question…

Q: Find the value of  x  so that the two vectors  (27,1,13)  and   (x,0,1)  are orthogonal

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Q: Show that the vectors 2 -2 2 uj = 2 uz = 3 uz = 7 1 -5 -3 are linearly dependent. Find all r1, x2,…

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Q: Which of the following sets of vectors are linearly dependent? (i) {(2,3), (-4,-6)}; (ii) ((0, 4,0,…

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Q: Determine which set of vectors is linearly dependent (a) (b) , (c) (d) (e) (f) O (a) O (b) O (c) O…

A: Recall:A set of vectors is said to be linearly dependent if the determinant is zero.If the…

Q: (a) Show that the vectors v1 = (1, 2, 3, 4), v2 = (0, 1, 0, – 1), and v3 = (1, 3, 3, 3), form a…

A: (a) The given vectors are: v1=(1,2,3,4), v2=(0,1,0,-1), v3=(1,3,3,3)

Q: 2 3. Show that that the vector u = -5 is a linear combination of the vectors v1 3 2 ------ 2 U2 = -4…

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Q: Determine whether or not the 3 vectors of P2(R), p1(t) = 1−t², p2(t) = t, p3(t) = −1+t+t² arly…

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Q: Ui=(1, 1, 1, -1) Uz=(5, 1, 1, 1) Uз-(-3, -3, 1, -3)

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Q: Express i = (3,7,-4) as a linear combination of i = (1,2,3), ỷ = (2,3,7), z = (3,5,6), also check…

A: see below the answers

Q: Prove that the vectors (1,1,0),(3,1,3) and (5,3,3)  are linearly dependent

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Q: Show that the column vectors (1,1,2,4), (2,-1.-5.2), (1.-1,-4,0) and (2,1.1,6) vectors in R are…

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Q: If possible express the vector v as a linear combination of V1, V2, and V3.

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Q: Determine whether the vector U = 2 is a linear combination of the vectors Xi = 2 X2 = and X ? Give…

A: Let  U→=aX1→+bX2→+cX3→  Where, a,b and c are scalar. Then,…

Q: Find two linearly independent vectors perpendicular to the vector 15 "I G.

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Q: Let u = (2,0), v = (5,4), and w = (2,3). Find the vector that satisfies 10u-v+x = 8x+w.

A: Given u = (2,0), v = (5,4), and w = (2,3)& 10u-v+x = 8x+w

Q: Give a set of vectors that is linearly dependent for P3 Show your work.

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