What kind of conic section (or pair of straight lines) is given by the quadratic form Transform it to principal axes Express x T x 1 x 2 in terms of the new coordinate vector y T y 1 y 2 , as in Example 6 x 1 2 12x 1 x 2 x 2 2 70 ...

Let y1 2x2 and x2 3 Hence y12 1y1 2y2 70 Hence y1 0 0 y12 0 1 ny1 1 70 Then ...

What kind of conic section (or pair of straight lines) is given by the quadratic form? Transform

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What kind of conic section (or pair of straight lines) is given by the quadratic form? Transform it to principal axes. Express x^T= [x₁ x₂] in terms of the new coordinate vector y^T = [y₁ y₂], as in Example 6.

x₁² - 12x₁x₂ + x₂² = 70.

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Advanced Engineering Mathematics

ISBN: 978-0470458365

10th edition

Authors: Erwin Kreyszig

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Question Posted: Oct 03, 2022 07:53 AM

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What kind of conic section (or pair of straight lines) is given by the quadratic form? Transform it to principal axes. Express x T = [x 1 x 2 ] in terms of the new coordinate vector y T = [y 1 y 2 ],...
What kind of conic section (or pair of straight lines) is given by the quadratic form? Transform it to principal axes. Express x T = [x 1 x 2 ] in terms of the new coordinate vector y T = [y 1 y 2 ],...
What kind of conic section (or pair of straight lines) is given by the quadratic form? Transform it to principal axes. Express x T = [x 1 x 2 ] in terms of the new coordinate vector y T = [y 1 y 2 ],...
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What kind of conic section (or pair of straight lines) is given by the quadratic form? Transform

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Advanced Engineering Mathematics

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