Define T: R2 R² by T(x1, x2) = (x2 +3, x₁ + 4) (a) Find u € R² and L = O(R²) such that T = T₂ o L. Here T is the translation over u. (b) Prove that T is an isometry. ((x1, x2) € R²).

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Define T: R² R² by
T(x₁, x₂) = (x₂ + 3, x₁+4)
(a) Find u € R² and L = O(R²) such that T = T₂ o L.
Here Tu is the translation over u.
(b) Prove that T is an isometry.
((x1, x₂) € R²).
Transcribed Image Text:Define T: R² R² by T(x₁, x₂) = (x₂ + 3, x₁+4) (a) Find u € R² and L = O(R²) such that T = T₂ o L. Here Tu is the translation over u. (b) Prove that T is an isometry. ((x1, x₂) € R²).
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