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For any linear map f: EE, lez D). If f2 = id, then /1

For any linear map f: EE, lez D). If f2 = id, then /1

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.1: Introduction To Linear Transformations
Problem 46E: For the linear transformation from Exercise 45, let =45 and find the preimage of v=(1,1). 45. Let T...
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For any linear map f: EE, let U+ = Ker ((id - f)) and let U¯ = Im(½ (id – ƒ)). If ƒ² = id, then U+ = Ker ((id - )) = m((id + 1)). and so, f(u) = =u on U+ and f(u) = =-u on U-.
Transcribed Image Text:For any linear map f: EE, let U+ = Ker ((id - f)) and let U¯ = Im(½ (id – ƒ)). If ƒ² = id, then U+ = Ker ((id - )) = m((id + 1)). and so, f(u) = =u on U+ and f(u) = =-u on U-.
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