3. Consider the following vectors in R³: The set B = --8--8--8--8 = 2 {b₁,b2, b3} is a basis of R³ (you do not need to verify it). b₁ 1 = b₂ = Compute the vector u. [u] B 0 a) Compute [w], the coordinate vector of w relative to the basis B. b) Let u € R³ be a vector such that 3 -B = 1 W = -5

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Q: Find the new coordinate vector for the vector x after performing the specified change of basis. 6)…

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Q: let A = [1 5 -4 -3 0] and w = [1]            [0 1 -2  1  0]              [2]            [0 0  0   0…

A: Answer is in below steps.

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Q: write answer as fraction -(1/2)^3

A: We know , (a/b)n = an/bn

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Q: Solve the D. E. to the I. V. P. sinx(e-y + 1)x' – cosx = 1, y(0) = 0 %3D %3D (1 – e') (1 + cos.x) =…

A: We will find out the required solution.

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Q: 4. In R² a) Draw the grid corresponding to the basis 3 = 3.72] b) A certain vector v in R² has…

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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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A: The solution is given as

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A: The given vectors are v=23, v1=45, v2=-54

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Q: basis

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Q: Find the representation of (9, -2, -3) in each of the following ordered bases. Your answers should…

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