{[i :]:[ 1 0 0 0 ; :]:[: :)-[: :]} 1 1 1 0 1 1 - Let B a basis for M2(R). = 0 0 1 1 Find the coordinate vector [A]B_ relative to the basis B, where a b (a) A (а) А — с d -1 3 (b) А — 2 5

Q: 14a.Show that the vectors w₁ = (0,2,0), W₂ = (3,0,3), W3 = (-4,0,4) form an orthogonal basis for R³…

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A: Question from linear algebra.

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Q: Consider the three basic vectors: (2,1,0,-1),(-1,1,1,1),(2,7,4,1) a. give two vectors that are in…

A: Given the three basic vectors:                           (2,1,0,-1),(-1,1,1,1),and (2,7,4,1) We have…

Q: Find the coordinate vector [x] of x relative to the given basis B= (b₁,b2, b3 1 b1 = 0 B 2 b2 = 1 6…

A: here we have to find the coordinate vector of x

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Q: {} Find in R² whose coordinate vector relative to the basis B is [x]B Let B = x = 12 -5 -6 [:] 5

A: Introduction: The coordinate vector of an element of vector space related to basis is the vector…

Q: 1. Find the coordinates of vector w (1,2, 3) in the basis A which consists of T1 = (1, 1, 0), 72 =…

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Q: Find the coordinate vector [x] of x relative to the given basis B = - 1 2 -⠀⠀⠀ b₂ 2 b3 -2 , X = - 3…

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Q: - {{:) ()(}} (3) 2 B be an ordered basis of the vector space R³. Let the vector v = Find the…

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Q: Find the vector x determined by the given coordinate vector [x]g and the given basis B. 8-{8}-(-6) B…

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Q: Find the coordinate vector [x]R of x relative to the given basis B= {b1, b2, b3}. 1 4 1 - 6 b, 0 ,…

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A: We have four unknown variables (w,x,y,z) and two equation. This emply there are two free variables.…

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Q: Find the coordinate vector of v = [-7 [-7 [011], [221] ). −4 -4 -5] relative to the ordered basis B…

A: Vβ​=[−3​0​−2​]   Explanation:

Q: 6. Let B be the following ordered basis for R?: в %3 {(1,—1), (2, -3)} . Find the coordinate vector…

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A: Handwritten solution provided.Explanation:Step 1:Step 2:

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Q: 2. Find the coordinate vector [] of a relative to the given basis B = {b₁,b₂, b3} . -3 -0-0-8-8 b₂ =…

A: Given: B=b1, b2, b3 where, b1=1-1-3, b2=-349, b3=2-24 and x=8-96. We have to find the coordinate…

Q: Given basis B = {(1, -1), (2, 3)} and basis C = {(1, 0), (0, 1)}, and linear map T = (x + 2y ; 2x -…

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Q: Find the coordinate vector [x]R of the vector x relative to the given basis - 25 b = 5 , b2 = -3 , x…

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