# Update Library

Update a library's information.

**Endpoint**: `PUT /api/libraries/:id`
**Auth**: Required (Admin only)
**Content-Type**: `application/json`

## Path Parameters

| Parameter | Type | Required | Description |
|-----------|------|-----------|-------------|
| id | string (UUID) | Yes | Library UUID |

## Request Body

| Field | Type | Required | Description |
|--------|------|-----------|-------------|
| name | string | No | Library name |
| library_type_id | integer | No | Library type ID |

### Example Request

```json
{
  "name": "My Updated Library",
  "library_type_id": 1
}
```

## Response (200 OK)

```json
{
  "id": "uuid",
  "name": "My Updated Library",
  "library_type_id": 1,
  "created_at": "2026-02-08T10:00:00Z",
  "updated_at": "2026-02-08T11:00:00Z"
}
```

## Error Responses

| Code | Description |
|------|-------------|
| 400 | Invalid request data |
| 401 | Invalid or expired token |
| 403 | User does not have admin privileges |
| 404 | Library not found |
