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Substituting them in the above equation, we get y1² + 9y2² = 1 which is our ellipse equation. Let’s plot this: y1² + 9y2² = 1 We can see the lengths of the principal axes are 0.66 and 2 which is 2 * 1/√𝜆1 and 2 * 1/√𝜆2. Next, let’s transform back to the standard Euclidean basis from the eigenvector