# yan-519/matrix architecture

> Architecture diagram of the GitHub repository yan-519/matrix, generated by GitDiagram from its file tree, README and a sample of source files (last updated 2026-09-27). It is an AI-made overview: check details against the source.

- Interactive diagram: https://gitdiagram.com/yan-519/matrix
- Repository: https://github.com/yan-519/matrix

## Overview

This is a generic numerical linear-algebra library with a small console demonstration. The principal workflow constructs matrices or vectors, applies arithmetic and transformations, and returns formatted results. Matrix analysis includes powers, determinants, inversion, trace, and basis extraction; vector functionality includes norms, normalization, and basis extraction, while VectorSpace supplies configurable inner products and norms. The console also contains Fibonacci implementations and timing helpers, though its benchmark calls are commented out. The graph is based on the sampled source; no README documentation was provided.

Main entry points: [`matrix/Vector.cs`](https://github.com/yan-519/matrix/blob/master/matrix/Vector.cs) (Vector API), [`matrix/Program.cs`](https://github.com/yan-519/matrix/blob/master/matrix/Program.cs) (Demo entry point), [`matrix/Matrix.cs`](https://github.com/yan-519/matrix/blob/master/matrix/Matrix.cs) (Matrix API), [`matrix/RootClass.cs`](https://github.com/yan-519/matrix/blob/master/matrix/RootClass.cs) (Shared operations)

## Diagram (Mermaid)

```mermaid
flowchart TD

subgraph group_demo["Console demo"]
  node_program["Demo entry point<br/>[Program.cs]"]
end

subgraph group_shared["Shared numeric core"]
  node_root["RootClass storage<br/>[RootClass.cs]"]
  node_rootops["Shared operations<br/>[RootClass.cs]"]
end

subgraph group_matrix["Matrix algebra"]
  node_matrixapi["Matrix API<br/>[Matrix.cs]"]
  node_matrixext["Matrix analysis<br/>[Matrix.cs]"]
end

subgraph group_vector["Vector algebra"]
  node_vectorapi["Vector API<br/>[Vector.cs]"]
  node_vectorext["Vector utilities<br/>[Vector.cs]"]
  node_space["Vector spaces<br/>[VectorSpace.cs]"]
end

node_user(("Console user"))
node_terminal(("Console output"))

node_user -->|"runs"| node_program
node_program -->|"constructs and operates"| node_matrixapi
node_program -->|"inverts and rounds"| node_matrixext
node_program -->|"constructs and transposes"| node_vectorapi
node_program -->|"writes results"| node_terminal
node_matrixapi -->|"inherits storage"| node_root
node_vectorapi -->|"inherits storage"| node_root
node_matrixapi -->|"delegates arithmetic"| node_rootops
node_vectorapi -->|"delegates arithmetic"| node_rootops
node_matrixapi -->|"computes powers and bases"| node_matrixext
node_matrixext -->|"uses shared operations"| node_rootops
node_root -->|"flattens to vector"| node_vectorapi
node_vectorapi -->|"uses shared operations"| node_rootops
node_vectorext -->|"computes from vectors"| node_vectorapi
node_space -->|"uses vector operations"| node_vectorapi
node_space -->|"uses matrix operations"| node_matrixapi

click node_program "https://github.com/yan-519/matrix/blob/master/matrix/Program.cs"
click node_root "https://github.com/yan-519/matrix/blob/master/matrix/RootClass.cs"
click node_rootops "https://github.com/yan-519/matrix/blob/master/matrix/RootClass.cs"
click node_matrixapi "https://github.com/yan-519/matrix/blob/master/matrix/Matrix.cs"
click node_matrixext "https://github.com/yan-519/matrix/blob/master/matrix/Matrix.cs"
click node_vectorapi "https://github.com/yan-519/matrix/blob/master/matrix/Vector.cs"
click node_vectorext "https://github.com/yan-519/matrix/blob/master/matrix/Vector.cs"
click node_space "https://github.com/yan-519/matrix/blob/master/matrix/VectorSpace.cs"

classDef toneNeutral fill:#f8fafc,stroke:#334155,stroke-width:1.5px,color:#0f172a
classDef toneBlue fill:#dbeafe,stroke:#2563eb,stroke-width:1.5px,color:#172554
classDef toneAmber fill:#fef3c7,stroke:#d97706,stroke-width:1.5px,color:#78350f
classDef toneMint fill:#dcfce7,stroke:#16a34a,stroke-width:1.5px,color:#14532d
classDef toneRose fill:#ffe4e6,stroke:#e11d48,stroke-width:1.5px,color:#881337
classDef toneIndigo fill:#e0e7ff,stroke:#4f46e5,stroke-width:1.5px,color:#312e81
classDef toneTeal fill:#ccfbf1,stroke:#0f766e,stroke-width:1.5px,color:#134e4a
class node_program,node_user toneBlue
class node_root,node_rootops toneAmber
class node_matrixapi,node_matrixext toneMint
class node_vectorapi,node_vectorext,node_space toneRose
class node_terminal toneIndigo
```

## Components

### Console demo

- [Demo entry point](https://github.com/yan-519/matrix/blob/master/matrix/Program.cs): `matrix/Program.cs`

### Shared numeric core

- [RootClass storage](https://github.com/yan-519/matrix/blob/master/matrix/RootClass.cs): `matrix/RootClass.cs`
- [Shared operations](https://github.com/yan-519/matrix/blob/master/matrix/RootClass.cs): `matrix/RootClass.cs`

### Matrix algebra

- [Matrix API](https://github.com/yan-519/matrix/blob/master/matrix/Matrix.cs): `matrix/Matrix.cs`
- [Matrix analysis](https://github.com/yan-519/matrix/blob/master/matrix/Matrix.cs): `matrix/Matrix.cs`

### Vector algebra

- [Vector API](https://github.com/yan-519/matrix/blob/master/matrix/Vector.cs): `matrix/Vector.cs`
- [Vector utilities](https://github.com/yan-519/matrix/blob/master/matrix/Vector.cs): `matrix/Vector.cs`
- [Vector spaces](https://github.com/yan-519/matrix/blob/master/matrix/VectorSpace.cs): `matrix/VectorSpace.cs`

### Other components

- **Console user**
- **Console output**

## Connections

- Console user → Demo entry point: runs
- Demo entry point → Matrix API: constructs and operates
- Demo entry point → Matrix analysis: inverts and rounds
- Demo entry point → Vector API: constructs and transposes
- Demo entry point → Console output: writes results
- Matrix API → RootClass storage: inherits storage
- Vector API → RootClass storage: inherits storage
- Matrix API → Shared operations: delegates arithmetic
- Vector API → Shared operations: delegates arithmetic
- Matrix API → Matrix analysis: computes powers and bases
- Matrix analysis → Shared operations: uses shared operations
- RootClass storage → Vector API: flattens to vector
- Vector API → Shared operations: uses shared operations
- Vector utilities → Vector API: computes from vectors
- Vector spaces → Vector API: uses vector operations
- Vector spaces → Matrix API: uses matrix operations