Two-variable spectral condition check
Assess sensitivity of a small linear system to its inputs.
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Use comma-separated finite numbers on two lines. Magnitudes must be at most 1e9 and at least 1e-12, or zero.
The starting values are hypothetical. Results update as you edit. Use aggregate or synthetic inputs only.
Calculation results
- Spectral condition number
- 1000
- Largest singular value
- 1
- Smallest singular value
- 0.001
How to interpret the output
Uses the ratio of singular values for a real 2×2 matrix. Values are normalized by the largest entry before computation. A normalized determinant at or below 1e-14 is rejected as singular or numerically unresolved. Scaling individual coordinates changes the diagnostic. Source checked 12 November 2026.
Method reference