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

No annotations are provided, so the description carries the full burden. It usefully discloses the size limit and error-on-oversize behavior, but says nothing about input encoding, numeric precision, permissions, or the shape of a successful result, leaving substantial behavioral gaps for a mutation-free but still opaque tool.

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

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

The functional statement is a single front-loaded sentence with zero waste. The appended trial/promo clause is mild noise but is the only padding.

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

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

With no annotations, no output schema, and 0% parameter documentation, the description is not complete enough: an agent still cannot determine the matrix input format or the return type. The size constraint is the only substantive context provided.

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

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

Schema description coverage is 0% and the two parameters ('m' and 'matrix') are undocumented and appear redundant. The description mentions 'matrix' conceptually but never explains how to encode it (CSV, JSON array, delimiters) or what 'm' is, so it fails to compensate for the coverage gap.

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

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

States a specific verb+resource ('Computes the determinant of a ... matrix') and names the exact accepted sizes. Against siblings like x402-matrix-add, x402-matrix-trace, and x402-matrix-multiply, the operation is unmistakably distinguished.

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

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

The description gives an implicit boundary condition ('returns an error for any other size'), which tells the agent when this tool will not work. However, it names no alternatives and gives no guidance on when to prefer this over the many other matrix tools, so usage is only implied.

Agents often have multiple tools that could apply. Explicit usage guidance like "use X instead of Y when Z" prevents misuse.