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: R³ → R², find its dual map, where (i) 1(x, y, z)=(x-y, y+z), (ii) t(x, y, z) = (x + y + 2z, 2x+y), (iii) t (x. v. =) = (x + y₂ O).

: R³ → R², find its dual map, where (i) 1(x, y, z)=(x-y, y+z), (ii) t(x, y, z) = (x + y + 2z, 2x+y), (iii) t (x. v. =) = (x + y₂ O).

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 25CM: Find a basis B for R3 such that the matrix for the linear transformation T:R3R3,...
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Ex.3. Let the linear functional fon R is given by f(x, y)=2x-5y. For each linear trans- formation t: R³ → R², find its dual map, where (i) 1(x, y, z)=(x−y, y+z), (ii) t (x, y, z)=(x + y + 2z, 2x + y), (iii) t (x, y, z)=(x + y, 0),
Transcribed Image Text:Ex.3. Let the linear functional fon R is given by f(x, y)=2x-5y. For each linear trans- formation t: R³ → R², find its dual map, where (i) 1(x, y, z)=(x−y, y+z), (ii) t (x, y, z)=(x + y + 2z, 2x + y), (iii) t (x, y, z)=(x + y, 0),
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