Find a linear transformation that maps the unit circle x2 + y2 = 1 to the ellipse

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Find a linear transformation that maps the unit circle x2 + y2 = 1 to the ellipse 1/4x2 + 1/9y2 = 1. Is your answer unique?
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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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