Explain why the translation function T R 2 R 2 , defined by for a, b R, is almost never linear Precisely when is it linear T X Y x a y b...

The translation function T R2 R2 defined by Tx y x a y b is almost never linear becau ...

Explain why the translation function T: R 2 R 2 , defined by for a, b

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Explain why the translation function T: R² → R², defined by for a, b ∈ R, is almost never linear. Precisely when is it linear?

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Applied Linear Algebra

ISBN: 9783319910406

2nd Edition

Authors: Peter J. Olver, Chehrzad Shakiban

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Explain why the translation function T: R 2 R 2 , defined by for a, b

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T X Y x + a y+b

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Applied Linear Algebra

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