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sympy_matrix_inverse

Compute the inverse of a matrix using SymPy's symbolic mathematics library for algebraic computations and matrix operations.

Instructions

Compute matrix inverse.

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
matrixYesMatrix string

Output Schema

TableJSON Schema
NameRequiredDescriptionDefault
resultYes
Behavior2/5

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

No annotations are provided, so the description carries the full burden of behavioral disclosure. 'Compute matrix inverse' implies a read-only mathematical calculation, but it doesn't specify error conditions (e.g., singular matrices), performance characteristics, or output format. This is a significant gap for a tool with no annotation coverage.

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 a single, efficient sentence with zero wasted words. It's front-loaded with the core action and resource, making it easy to parse quickly. This is an excellent example of conciseness in tool descriptions.

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?

The description is minimal but functional for a simple mathematical tool with one parameter and an output schema. However, given the lack of annotations and no guidance on usage or behavior, it leaves gaps in understanding error handling and practical application. The existence of an output schema helps, but more context would improve completeness.

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

Parameters3/5

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

The schema description coverage is 100%, with the single parameter 'matrix' documented as 'Matrix string'. The description doesn't add any parameter details beyond what the schema provides, such as format examples or constraints. Given the high schema coverage, the baseline score of 3 is appropriate.

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

Purpose4/5

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

The description 'Compute matrix inverse' clearly states the verb ('compute') and resource ('matrix inverse'), making the purpose immediately understandable. However, it doesn't differentiate from sibling tools like 'sympy_matrix_determinant' or 'sympy_matrix_LU' beyond the specific mathematical operation, which keeps it from a perfect score.

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

Usage Guidelines2/5

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

The description provides no guidance on when to use this tool versus alternatives. With many sibling tools for matrix operations (e.g., sympy_matrix_determinant, sympy_matrix_multiply), there's no indication of prerequisites, constraints, or typical use cases, leaving the agent to infer usage from the tool name alone.

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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