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Question 3: Let ť = |1 a) Is there any linear transformation L such that L(u) = v and L(w) = t? If yes: How many such L are there? Give one example. If the answer is no: Explain. b) Is there any linear transformation L such that L(u) = v and L(w) = t and so that L also creates the plane x – y + z = 0? Explain.

Question 3: Let ť = |1 a) Is there any linear transformation L such that L(u) = v and L(w) = t? If yes: How many such L are there? Give one example. If the answer is no: Explain. b) Is there any linear transformation L such that L(u) = v and L(w) = t and so that L also creates the plane x – y + z = 0? Explain.

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 12CM
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Question 3: Let ť = |1 a) Is there any linear transformation L such that L(u) = v and L(w) = t? If yes: How many such L are there? Give one example. If the answer is no: Explain. b) Is there any linear transformation L such that L(u) = v and L(w) = t and so that L also creates the plane x – y + z = 0? Explain.
Transcribed Image Text:Question 3: Let ť = |1 a) Is there any linear transformation L such that L(u) = v and L(w) = t? If yes: How many such L are there? Give one example. If the answer is no: Explain. b) Is there any linear transformation L such that L(u) = v and L(w) = t and so that L also creates the plane x – y + z = 0? Explain.
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