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1. (a) Find the eigenvalues and eigenvectors of the following matrix5222=(b) Using your answer from part (a) of this question, find the principal axes of

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1. (a) Find the eigenvalues and eigenvectors of the following matrix5222=(b) Using your answer from part (a) of this question, find the principal axes of thefollowing ellipse5x² + 4x?x? + 2x² = 36(c) Sketch the ellipse in the original ?, 2 coordinate system, and mark the principalaxes of the ellipse on your sketch.

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