Description
Negate coefficient for the inverse two-row shear coefficient.
A local matrix update changes a single entry or algebraic component under stated assumptions. Trace, squared norm, and Schur terms each respond to different structures.
Negate coefficient for the inverse two-row shear coefficient.
When to use this tool
Use Matrix Two Row Shear Coefficient Inverse when you need one transparent matrix-update component.
How to use the tool and how it works
- Enter coefficient. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read inverseCoefficient. Use the output convention below.
Negate coefficient for the inverse two-row shear coefficient.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| coefficient | Coefficient | Required. Finite number. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| inverseCoefficient | Inverse Coefficient | Required. Finite number. |
json
{
"input": {
"coefficient": 3
},
"output": {
"inverseCoefficient": -3
}
}Limitations and assumptions
- This assumes the same ordered pair of distinct rows and an elementary shear; row identities and a complete matrix inverse are not checked.
- Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.
Alternative or Complementary methods
Use a full matrix operation when validating shape, factor correspondence, pivot choices, or global numerical properties.
References
Similar or alternative tools
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- Matrix: Matrix Single Row Swap Determinant Sign
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