Skip to main content
Glama

Matrix Transpose

matrix_transpose
Read-onlyIdempotent

Transpose a matrix (swap rows and columns).

Note: Requires NumPy. Raises ValueError if NumPy is unavailable.

Examples: matrix_transpose([[1, 2, 3], [4, 5, 6]]) matrix_transpose([[1], [2], [3]])

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
matrixYes2D list of numbers representing the matrix. Each inner list is a row. Example: [[1, 2, 3], [4, 5, 6]]

Output Schema

TableJSON Schema
NameRequiredDescriptionDefault
topicYes
difficultyYes
original_colsYes
original_rowsYes
result_matrixYes

TDQS

A4.1/5.0
Behavior4/5

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

Annotations already declare readOnlyHint and idempotentHint, so the safety profile is covered. The description adds value by disclosing the NumPy dependency and the ValueError condition if NumPy is unavailable, plus examples showing behavior on rectangular and single-column matrices.

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 concise and front-loaded with the core purpose. The note and examples are compact and directly useful, with no redundant or filler content.

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

Completeness5/5

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

For a simple one-parameter tool with an output schema and safety annotations, the description covers purpose, dependency, error behavior, and usage examples. It is sufficiently complete for an agent to select and invoke correctly.

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?

The schema already provides 100% coverage with a clear description of the matrix parameter, including type, structure, and example. The tool description adds calling examples but no additional parameter semantics beyond what the schema already states.

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?

Description states the exact operation: 'Transpose a matrix (swap rows and columns).' This is a specific verb and resource, and it clearly distinguishes this tool from sibling matrix operations like determinant, eigenvalues, inverse, and multiply.

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

Usage Guidelines3/5

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

The description makes the tool's intent obvious and notes a critical prerequisite (requires NumPy), but it does not explicitly state when to use this tool versus alternatives or mention any exclusions. Usage is implied rather than explicitly guided.

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

Try in Browser

Glama MCP Gateway

Add one secure layer between your agents and this server.

TDQS

A4/5.0
Disambiguation4/5

Most tools are clearly distinct (calculation, interest, stats, units, matrix ops, plotting, workspace). However, plot_function, plot_line_chart, and plot_financial_line could be confused since they all produce line-like plots, though descriptions note their specific use cases.

Naming Consistency5/5

Tool names follow a clear, consistent prefix pattern: calc_*, matrix_*, plot_*, and workspace_*. This makes it easy to infer related functionality at a glance.

Tool Count4/5

17 tools is on the higher side but acceptable for the wide math scope (basic arithmetic, statistics, units, matrices, plotting, workspace). Each tool serves a distinct purpose, though a couple like plot_line_chart and plot_function could potentially be consolidated.

Completeness4/5

Core mathematical operations are well covered: expression evaluation, statistics, unit conversion, matrix operations, and common plot types. Minor gaps exist (e.g., no bar chart, no equation solving), but these are not critical for the server's apparent educational purpose.