Reading this result: Symmetric matrix (b = c): its eigenvectors meet at right angles, so the ellipse axes line up exactly with the green and pink lines.
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How it works
This visualizes a 2×2 linear transformation by morphing the unit circle into an ellipse, and overlays the eigenvectors — the directions the matrix leaves unrotated — with their eigenvalues computed from the trace and determinant. The heart of linear algebra, PCA, and stability analysis.
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The solver uses established numerical methods, but results are for research and educational purposes and should be validated against experiment or professional review before you rely on them.