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np_inv

Calculate the multiplicative inverse of a square invertible matrix for solving linear equations or matrix division.

Instructions

Compute the (multiplicative) inverse of a matrix.

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
arrayYesThe input matrix (must be square and invertible).

Output Schema

TableJSON Schema
NameRequiredDescriptionDefault
resultYes
Behavior2/5

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

No annotations provided, so the description must bear the burden. It only states the core action, omitting behaviors like error handling for non-invertible matrices, return type, or potential side effects. Minimal disclosure.

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

Conciseness4/5

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

The description is a single, clear sentence. It is front-loaded and efficient, though it could include more detail without becoming verbose.

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

Completeness3/5

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

For a mathematical function with one parameter and an output schema, the description is adequate but lacks context on return format, edge cases, and performance implications.

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

Parameters4/5

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

The single parameter 'array' is described in the schema as 'The input matrix (must be square and invertible)', which adds essential semantics beyond the parameter name and ensures clarity.

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 precisely states the tool computes the multiplicative inverse of a matrix, which is a specific operation distinct from siblings like np_det or np_solve.

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 like np_solve or np_linalg_norm. The input schema implies the matrix must be square and invertible, but the description does not address selection criteria.

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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