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# In each of the following, (i) find a suitable change of coordinates (i.e., a rotation ISBN: 9780136009290 436

## Solution for problem 3 Chapter 6.6

Linear Algebra with Applications | 8th Edition

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Problem 3

In each of the following, (i) find a suitable change of coordinates (i.e., a rotation and/or a translation) so that the resulting conic section is in standard form, (ii) identify the curve, and (iii) sketch the graph: (a) x2 + xy + y2 6 = 0 (b) 3x2 + 8xy + 3y2 + 28 = 0 (c) 3x2 + 6xy + 5y2 24 = 0 (d) x2 + 2xy + y2 + 3x + y 1 = 0

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##### ISBN: 9780136009290

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