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sympy_matrix_multiply

Multiply two matrices symbolically by providing their string representations.

Instructions

Multiply two matrices.

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
matrix1YesFirst matrix string
matrix2YesSecond matrix 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. The description only states the operation but does not disclose any behavioral traits such as matrix multiplication type (element-wise vs. dot product), side effects, or error conditions.

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, direct sentence with no extraneous information, making it efficiently front-loaded.

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?

Despite the presence of an output schema, the description lacks crucial context about input string format, matrix multiplication semantics, and expected return type, leaving the agent underinformed for a non-trivial operation.

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?

Input schema has 100% coverage with descriptions 'First matrix string' and 'Second matrix string'. The description adds no additional semantic meaning beyond the schema, so baseline score of 3 is appropriate.

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 'Multiply two matrices.' clearly states the action and resource, distinguishing it from sibling tools like sympy_matrix_add, sympy_matrix_determinant, etc.

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 guidance on when to use this tool versus other matrix operations, nor any prerequisites like matrix dimension compatibility or input string format.

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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