Consider the conic (5 x^{2}-4 x y+2 y^{2}=30). a. Write the left side in matrix form. b.

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Consider the conic $5 x^{2}-4 x y+2 y^{2}=30$.

a. Write the left side in matrix form.

b. Diagonalize the coefficient matrix, finding the eigenvalues and eigenvectors.

c. Construct the rotation matrix from the information in part $\mathrm{b}$. What is the angle of rotation needed to bring the conic into standard form?

d. What is the conic?

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A Course In Mathematical Methods For Physicists

ISBN: 9781138442085

1st Edition

Authors: Russell L Herman

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Question Posted: May 24, 2024 02:03 AM

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Consider the conic (5 x^{2}-4 x y+2 y^{2}=30). a. Write the left side in matrix form. b.

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A Course In Mathematical Methods For Physicists

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