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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

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

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.4: Spanning Sets And Linear Independence
Problem 74E: Let u, v, and w be any three vectors from a vector space V. Determine whether the set of vectors...
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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
Transcribed Image Text: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
determine the rank p(a) and nullity v(a).
Transcribed Image Text:determine the rank p(a) and nullity v(a).
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