Find the coordinate vector of v relative to the basis S = {v,, V2, V3} for R³. (b) v = (5, –12, 3); v = (1, 2, 3), v2 = (-4, 5, 6), V3 = (7. –8, 9)

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Q: The coordinates of the vector x= (7,5, – 16) in the basisB={v=(-1,0,3), u=(0, - 5,2),w=(2,0,1)} are:…

A: Given that x=(7,5,-16) and the basis is      B={v=(-1,0,3),u=(0,-5,2),w=(2,0,1)} . Here we have to…

Q: (b) The general fact that fcu++eUn]e== c\]j + .. + ca[vn]s allows for rewriting the equation above…

A: It is an important part of statistics. It is widely used.

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Q: The coordinates of the vector x= (6, – 3, – 1) in the basis B = {v=(2,0,1),u=(0,-3,2),w = (0,0,1))…

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Q: Find the coordinate vector of ?=(3,−7) relative to the basis ?={?1,?2} for ℝ2 if ?1=(1,1),?2=(0,2)

A: 1012 x = 3-71x = 3 and 1x + 2y = -7 Thus we get x = 3 Substitute in second equation, we get 2y = -10…

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Q: The vector (-1, 5, 3) is orthogonal to vector : Select one: О а. (0, 1, -2) O b. (-1, 1, -2) О с.…

A: Two non-zero vectors are orthogonal to each other if their dot product is equal to zero.

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Q: Find the coordinate vector of P relative to the basis S = {p1.P2,P3} %3D P1 = 1 + x + x*, pP2 = x +…

A: First I have written a short note about coordinate vector of a vector relative to a basis and then…

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A: Given is           v = 2i -2j +k           u = -4i-4j +5k         two vector a & b said to be…

Q: The set S = {v1, V2, V3} where vị = (-1,1,1), v2 (1,-1,1), v3 = (1,1,-1) is a The vector v whose…

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Q: The coordinates of vector x = (3, -2, 4) relative to basis B = { (0, -3, 4) , (1, 0, 0) , (0, 4, 3)…

A: A vector is a mathematical quantity which obeys the set of axioms. In general vectors are…

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Q: Find out Vector S= { V, V2, V3} is the Basis por R. if VI : ( 3,1,-4), Vz C2,s,6), V3 - C1,4,8) %3D…

A: Here we have to find whether v1 , v2 , v3 are basis of R3 or  not.

Q: Q2) Find the coordinate vector [x]B of x relative to the basis B={b1, b2}:

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Q: Find the coordinate vector of P relative to the basis S = {P1P2.P3} P1 = 1 +x+x*,P2 = x + x, p3 =…

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Q: Find the coordinate vector of w relative to the basis S = {u1, u2 } for R2 u1 = (9, – 9), uz = (3,…

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Q: (и, из) for Find the coordinate vector of w relative to the basis S R². Let ui (5, –4), u2 = (3, 7),…

A: Solvig by au+bv=w

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A: To find  The vector X determined by the given coordinate vector [X]_B and the given basis B.

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Q: Find the coordinate vector of v = [2 -7 7] relative to the ordered basis B = ( [1 0 1], [0 1 1], [2…

A: ANSWER:

Q: The coordinates of the vector= (4,9,1) in the basis B=(v=(2,0,1),u%= (0, - 3,2),w= (0,0,1)} Of R3…

A: For the solution of the problem follow the next step.

Q: Find the coordinate vector [x]B of the vector x relative to the given basis B. b1 = 4, b 2 = |-3…

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Q: Find the coordinate vector of v relative to the basis S = {v1, v2, V3} for R3. v = (-11,–17,7) V1 =…

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Q: Q2) Find the coordinate vector [x]B of x relative to the basis B={b1, b2} bị -31 X =

A: We are give: B = {b1,b2} where b1 =(-1, 2)T and  b2 =(-3, 5)T Also,  x1 =(-1, 3)T  We need to find x…

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Q: Find the coordinate vector of w relative to the basis S = { u1, u2} for R u 1 = (4, – 4), u 2 = (4,…

A: Given: u1=4,-4u2=4,4w=0,24

Q: Find the coordinate vector of P relative to the basis S = {p1,p2.P3} P1 = 1 + x + x², P2 = x + x²,…

A: p1=1+x+x2, p2=x+x2, p3=x2; p=3-x+9x2

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Q: Find the coordinate vector of Prelative to the basis S = {P,P2P3} P1 = 1+ x + x, P2 = x + x²,P3 =…

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Q: 2) Find the coordinate vector [x]p of x relative to the basis B={b1, b2}: [-3] bị = G.b2 = x =G

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A: Find coordinate vector of v relative to basis S

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Q: Find the coordinate vector for the vector v = (3,4,3) relative to the basis S={(3,2,1), (-2,1,0),…

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Q: The coordinates of the vector x= (2,15, – 7) in the basis B= (v=(2,0, 1) ,u=(0, – 3,2),w=(0,0, 1) }…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the coordinate vector of w relative to the basis S = { u1, u2} for R². u 1 = (5, – 5), u 2 =…

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