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sympy_matrix_rank

Calculate the rank of a matrix using SymPy's symbolic mathematics library to determine the number of linearly independent rows or columns.

Instructions

Matrix rank.

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
matrixYes

Output Schema

TableJSON Schema
NameRequiredDescriptionDefault
resultYes
Behavior1/5

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. It fails to describe any behavioral traits, such as whether this is a read-only operation, what input format the matrix expects, potential errors, or computational complexity. The description adds no value beyond the name.

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

Conciseness3/5

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

The description is extremely concise with just two words, but this brevity leads to under-specification rather than efficiency. It is front-loaded but lacks any structure or elaboration to make it useful. While not verbose, it fails to convey necessary information.

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

Completeness2/5

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

Given the complexity of a mathematical operation with no annotations and 0% schema coverage, the description is incomplete. Although an output schema exists (which might define the return value), the description does not address input requirements, usage context, or behavioral aspects, leaving significant gaps for the agent.

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% description coverage, with one required parameter 'matrix' of type string. The description provides no information about this parameter, such as the expected format (e.g., a matrix expression in SymPy syntax), examples, or constraints. It does not compensate for the lack of schema documentation.

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 'Matrix rank.' is a tautology that restates the tool name without adding meaningful context. It lacks a specific verb (e.g., 'compute' or 'calculate') and does not clarify what 'rank' means in this context, making it vague. While it identifies the resource (matrix), it fails to distinguish this tool from its many siblings beyond the name.

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

Usage Guidelines1/5

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

There is no guidance on when to use this tool versus alternatives. The description does not mention any context, prerequisites, or comparisons to sibling tools (e.g., sympy_matrix_nullspace or sympy_matrix_determinant), leaving the agent with no usage direction.

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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