1. Determine if the set {(1, -2, 3), (7, 4, -2), (3, -6, 9)} is linearly dependent.

Q: 7. Is this a linearly independent subset of R³ ? {(1, 4, −6), (1, 5, 8), (2, 1, 1), (0, 1, 0)}…

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Q: 9. Represent the following relations on A = {1, 2, 3, 4, 5, 6} using a matrix and a digraph. (a) R =…

A: Given that ,  A = { 1,2,3,4,5,6}

Q: let u=(1,2,3), v=(3,2,1) and w=(4,5,6) u.(2v)= Select one: 1/20 20 -20 -1/20

A: The given vectors are: u=(1, 2, 3)v=(3, 2, 1)w=(4, 5, 6)

Q: 1 - 3 2 Let v, = - 3 -2 Determine if the set {v4 is linearly independent. 7 -2 - 4

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Q: : let u = (1, 2, 3), v = (2, 2, -1) and w = (4, 0, -4) then u-v and v - u equal %3D None u - v =…

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Q: . a) Plot the set of points. i) (6, -4), (6, -2), (6, 0), (6, 1), (6, 3) ii) (-3, -4), (-3, -2),…

A: Here we have to plot the set of points, draw a line and find the following points and line:-

Q: Let a=⟨3,−5,5⟩ and b=⟨−1,5,2⟩ Find the component of b onto a

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Q: Let A=(1,2,3,4), B=(00,01,10,11), C=(x.y.z). f, = {(1,00).(2,01).(3,01).(3,10) (4,11)} f2 = ((1,x),…

A: f3 is a function from A to B . f1 is a function from A to B. domain of both f3 and f1 Is A and Range…

Q: Write v as a linear combination of u, u2, and u3, possible. (If not possible, enter IMPOSSIBLE.) =…

A: We will find out the required value.

Q: Suppose P = (0, – 1, 6) and PQ = (9, 2, – 4). and ( Enter an integer or decimal number (more.] Two…

A: Find the point Q using the vector PQ and point P.

Q: Suppose that A = {1, 2, 3} and B = {4, 6}. Let R be the relation from A to B containing (a, b) if a…

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Q: If the set {(1,2, 1), (0,1, 1), (1, -3, A)} is linearly independent, then (A) A = -4 %3D (B) A + 4…

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Q: Let R = {(3,4),(1,3),(4,2),(4,1)}, Then R² is given by O (1,3),(2,1),(3,2),(4,3)} O {(1,3).(2,1).(3,…

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Q: 1) Is {(1, 0,3), (1, 4, -2), (-8, 12, -4), (1, 37, 17)} a linearly independent list?

A: We check given set of vectors is linearly independent or not.

Q: The set {(1,2),(-2,4),(0,5)} is linearly dependent. O True O False

A: Set of vectors is said to be linearly dependent is at least one vector of the set can be expressed…

Q: Find x, y, z and w if (::)-(; )-(.. ") 4 x + y 3 -1 2w z + w 3

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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: Which information about the coordinates of G and H prove that GH is the midsegment of ΔΑΒΟ? H В(3,…

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Q: Let u = , v = and w = . Now, i = is a linear combination of ü, v and w. That is, i = aju + azv +…

A: ANSWER:

Q: Show mathematically that (10-6) is not independent of (10-1),(10-3), and (10-4).

A: We can write (10  -6) as:

Q: 5. For which value of x do the following vectors form a linearly dependent set in ¹ X₂ G

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Q: c. (18,-11,9,8) d. (18,11,9,-8) 2. x = (-1, -2,-2), u = (0, 1, 4), v = (-1, 1, 2), and w = (3, 1,…

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: 1 Give the second component of the projection of 2 -1 -1 2 onto Nul 3 2-2 2 4 -1,

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Q: Compute u + v, 2u – v, 3u – 2v, and 0 – 3v if (a) u =| 2 3 2 (b) u= = -3 (c) u = 1 4

A: (a) Consider the given matrices, u=123 and v=201 now, use the matrices addition property,…

Q: 0-2.5) R= (9, 4) P= (3, 2) Q= (7, 2) S-(10, 2) N= (0. 0) -1 10 11 -1 T= (-1, -2) L=(4, 2) U= (0, -2)…

A: Shape of triangles KLM, NOP are same and triangles TUV, QRS are same. But to prove congruent nature…

Q: Given (4,1) and (5,-7) are two points of f and (4,-3) and (5, 10) are two points on g, determine the…

A: The given informations are    (4,1) , (5,-7) are two points on f & (4,-3) , (5,10) are two…

Q: Let m. - 6 ) m- - (C ) m - (G 9)-m- - (; ). (G :). m2 = m3 = etermine if (m1, m2, m3, m4) is…

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Q: A(6, 0), B(9, 6), C(12, 6) and D(0, 3), E(1, 5), F(2, 5) 7) 10 8 2 4 6 8 10 -2 -10 -8 -6 -4 -2 -4 -8…

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