Description
Return the dot product of row and matchingColumn, requiring aligned lengths.
Matrix-product entries are dot products of matching rows and columns. Trace and Rayleigh-quotient contributions require corresponding coordinates from the same underlying calculation.
Return the dot product of row and matchingColumn, requiring aligned lengths.
When to use this tool
Use Matrix Trace Product Contribution when you need one explicit real matrix-product contribution.
How to use the tool and how it works
- Enter row, matchingColumn. Keep parallel arrays aligned. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read contribution. Use the output convention below.
Return the dot product of row and matchingColumn, requiring aligned lengths.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| row | Row | Required. Array of finite number; maximum items 256. |
| matchingColumn | Matching Column | Required. Array of finite number; maximum items 256. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| contribution | Contribution | Required. Finite number. |
{
"input": {
"row": [
1,
2
],
"matchingColumn": [
3,
4
]
},
"output": {
"contribution": 11
}
}Limitations and assumptions
- For a trace contribution, the inputs must correspond to the same product diagonal position; matrix compatibility is not inferred.
- 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
Validate complete shapes and coordinate correspondence before aggregating contributions or using a matrix library.
References
Similar or alternative tools
- Matrix Two Row Inner Product Term
Require equal-length left and right arrays, multiply corresponding elements into terms, and sum those products.
- Matrix 2x2 Eigenvalue Sum Product
Return trace a + d as the eigenvalue sum and determinant ad - bc as their product.