Let a : V → W be a linear map for vector spaces V, W over R, V₁, V2, V3, V4 a basis of V and w₁, W2, W3 a basis of W. Suppose that the corresponding matrix 0 2 -1 0 with respect to these bases is A = 1 0 -1 −1 0 3 0 3

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A: We have V=ℝ2,  S={v1, v2, v3}={12, -32-3, 1-1} We will first check if the set is linearly…

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A: The Solution is done.Explanation:Approach to solving the question: Detailed explanation: Examples:…

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A: We simply use the the defination of matrix representation of linear transformation .

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Q: Let a : V→ W be a linear map for vector spaces V, W over R, V₁, V2, V3, V4 a basis of V and w₁, W2,…

A: Let  be a linear map for vector spaces V, W over ,  a basis of V and  a basis of W.Suppose that the…

Q: let "S={v1,v2,v3}" be a basis of vector space v, determine whether T={2 v 1,v1+v2,v1+v3} is a basis…

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Q: 1) Write v as a linear combination of the orthogonal basis V₁,...,V using dot products: V= |; V₁ =…

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