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sympy_randMatrix

Generate a random square matrix of size n for symbolic algebraic computations with SymPy.

Instructions

Random matrix.

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
nYes

Output Schema

TableJSON Schema
NameRequiredDescriptionDefault
resultYes
Behavior1/5

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

With no annotations, the description must disclose behavioral traits. It fails to specify the type of randomness (uniform, integer, float, distribution parameters) or shape (square matrix implied? single dimension?). No information about side effects or randomness properties is given.

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

Conciseness2/5

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

The description is extremely short (two words), which is concise but severely underspecified. It lacks a sentence structure and omits critical information, making it more of a placeholder than a useful description.

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

Completeness1/5

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

Despite an output schema existing (though not provided in detail), the description fails to give essential context about the tool's behavior. For a random matrix generator, users need to know the nature of the random entries, which is entirely omitted.

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

Parameters1/5

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

The input schema has 0% coverage for parameter descriptions, and the description itself does not explain the meaning of the single parameter 'n'. It is unclear whether 'n' represents the number of rows, columns, or matrix order.

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

Purpose2/5

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

The description 'Random matrix.' is nearly a tautology of the tool name 'sympy_randMatrix'. It identifies the resource (matrix) and action (random) but adds no specific detail, making it only slightly more informative than the name itself.

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?

No usage guidelines are provided. The description does not differentiate this tool from sibling matrix constructors like sympy_eye, sympy_diag, sympy_ones, sympy_zeros, nor does it indicate when to use a random matrix over other types.

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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