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XCEngine/docs/api/math/matrix4/inverse.md
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# Matrix4x4::Inverse
```cpp
Matrix4x4 Inverse() const
```
返回矩阵的逆矩阵。如果矩阵的行列式接近零(不可逆),则返回单位矩阵。
**参数:** (无)
**返回:** 逆矩阵;如果矩阵不可逆则返回单位矩阵
**线程安全:**
**复杂度:** O(n³),对于 4x4 矩阵固定为 64 次基本运算
**示例:**
```cpp
#include "XCEngine/Core/Math/Matrix4.h"
using namespace XCEngine::Math;
Matrix4 transform = Matrix4::TRS(
Vector3(1.0f, 2.0f, 3.0f),
Quaternion::FromEuler(0.0f, 45.0f, 0.0f),
Vector3(2.0f, 2.0f, 2.0f)
);
Matrix4 inv = transform.Inverse();
Matrix4 identity = transform * inv;
// identity 接近单位矩阵
```
## 相关文档
- [Matrix4](matrix4.md) - 返回类总览
- [Determinant](determinant.md) - 计算行列式
- [Transpose](transpose.md) - 矩阵转置