Condition Number Calculator

Your details

Choose the dimensions of your square matrix.
The matrix norm used to compute the condition number. The 2-norm (spectral norm) is the most widely reported; others are faster to compute by hand.
Row 1, column 1
Row 1, column 2
Row 2, column 1
Row 2, column 2
Condition numberWell-conditioned
2.618

kappa(A) = ||A|| * ||A^-1||

Matrix norm ||A||3.618034
Inverse norm ||A^-1||0.723607
Determinant5
StabilityWell-conditioned
2.618 kappa
Well-conditioned<10Mildly ill-conditioned10-100Ill-conditioned100+

Condition number: 2.6180 - Well-conditioned.

  • With the 2-norm, kappa(A) = 2.6180.
  • The matrix is very well-conditioned: floating-point errors will not amplify significantly.
  • The determinant is 5.000000: values close to zero indicate near-singularity.

Next stepThis matrix is numerically stable for most practical linear-system solvers.

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