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THE FEUTEX TOOLKIT

Rank-One Determinant Update

Update a known matrix determinant from the scalar rank-one correction vᵀA⁻¹u.

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01 Your input
02 Your result
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FormulaNew Determinant = det*(1+s); Determinant Ratio = 1+s
Sources and model references

Made for real tasks

  • Update a known matrix determinant from the scalar rank-one correction uᵀA⁻¹v.
Explore step-by-step workflows →

Worked example

Inputs

Original determinant
4 number
Computed scalar correction
0.5 number

Expected results

New Determinant
6 number
Determinant Ratio
1.5 number

Load the example in the workspace to reproduce these results. Display rounding does not change the underlying calculation.

How to use this tool

  1. Enter original determinant, computed scalar correction.
  2. Use the displayed units and confirm the model assumptions.
  3. Calculate and compare the outputs against your input scenario.

Try this example

{
  "det": 4,
  "s": 0.5
}

Accuracy and scope

Scalar correction must already equal vᵀA⁻¹u for A+u*vᵀ. Does not compute a matrix inverse or verify the supplied scalar.

Is my data uploaded?

This tool runs locally in your browser. Input and output are not sent to a processing server. Copy or download your result before leaving the page.