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np_solve

Solve a linear matrix equation or system of linear equations by providing the coefficient matrix and dependent variable values.

Instructions

Solve a linear matrix equation, or system of linear equations.

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
aYesCoefficient matrix.
bYesOrdinate or "dependent variable" values.

Output Schema

TableJSON Schema
NameRequiredDescriptionDefault
resultYes
Behavior2/5

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

No annotations provided, and the description does not disclose behavioral traits such as handling of singular matrices, shape requirements, or result format. The description is too brief to inform about edge cases or constraints.

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?

Single sentence with no redundancy. Perfectly concise and directly states the tool's function.

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?

Given the existing output schema and simple interface, the description is minimally sufficient. However, it lacks information about dimension requirements or error handling, which could be important for correct usage.

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?

Schema covers 100% of parameters with descriptions: 'Coefficient matrix.' and 'Ordinate values.' The description adds context that this solves equations but does not elaborate on parameter details beyond the schema. Baseline score of 3 applies.

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 clearly states the tool solves linear matrix equations or systems of linear equations, which is specific and distinct from sibling tools like np_inv (matrix inverse) or np_dot.

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 alternatives like np_inv or np_linalg_lstsq for non-square systems. The description lacks context for selecting this tool over others.

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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