Unformatted text preview: 1 ² , then we would have  abcd  = 1, so this would be an example of an area preserving matrix. 6.7 Let A = h 1 2 3 4 i . By the results of problem 1.6.6, the image of the unit circle under A is an ellipse. Find the equation of the ellipse and graph it. SOLUTION By the results of the previous problem, the equation of the ellipse is 25 u 2 + 5 v 222 uv = 4 . 21 /september/ 2005; 22:09 47...
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 Fall '08
 Gladue
 Calculus, Matrices, Unit Circle, following matrices corresponds, magniﬁcation factor

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