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matrix_operations

Compute matrix operations including addition, multiplication, transpose, and determinant. Provide matrices as JSON arrays of arrays.

Instructions

Perform matrix operations: add, multiply, transpose, determinant.

Parameters:
    operation — Operation: 'add', 'multiply', 'transpose', 'determinant'.
    matrix_a — JSON array of arrays (e.g. '[[1,2],[3,4]]').
    matrix_b — Second matrix for add/multiply (optional).

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
operationYes
matrix_aYes
matrix_bNo

Output Schema

TableJSON Schema
NameRequiredDescriptionDefault
resultYes
Behavior3/5

Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?

No annotations are provided, so the description carries full burden. It lists operations and parameter roles but omits behavioral details such as error handling, matrix dimension constraints, or return format. Adequate but not thorough.

Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.

Conciseness5/5

Is the description appropriately sized, front-loaded, and free of redundancy?

The description is concise and front-loaded with the core purpose, followed by a clean parameter list. Every sentence adds value without redundancy.

Shorter descriptions cost fewer tokens and are easier for agents to parse. Every sentence should earn its place.

Completeness4/5

Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?

Given the presence of an output schema, the description covers purpose and all parameters. Some missing context (e.g., dimension constraints) but overall sufficient for a moderate-complexity tool.

Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.

Parameters5/5

Does the description clarify parameter syntax, constraints, interactions, or defaults beyond what the schema provides?

Despite 0% schema description coverage, the tool description provides clear descriptions and examples for all three parameters: operation values, matrix_a format, and matrix_b optionality. This fully compensates for the lack of schema descriptions.

Input schemas describe structure but not intent. Descriptions should explain non-obvious parameter relationships and valid value ranges.

Purpose5/5

Does the description clearly state what the tool does and how it differs from similar tools?

The description explicitly states the tool performs matrix operations and lists four specific operations: add, multiply, transpose, determinant. This clearly distinguishes it from sibling tools, none of which are matrix-specific.

Agents choose between tools based on descriptions. A clear purpose with a specific verb and resource helps agents select the right tool.

Usage Guidelines3/5

Does the description explain when to use this tool, when not to, or what alternatives exist?

No explicit guidance on when to use this tool versus alternatives, but the sibling list implies it's unique for matrix operations. Lacks when-not-to-use or alternative tool references.

Agents often have multiple tools that could apply. Explicit usage guidance like "use X instead of Y when Z" prevents misuse.

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