Matrix4x4

Description

A standard 4x4 transformation matrix.

A transformation matrix can perform arbitrary linear 3D transformations (i.e. translation, rotation, scale, shear etc.) and perspective transformations using homogenous coordinates. You rarely use matrices in scripts; most often using Vector3s, Quaternions and functionality of Transform class is more straightforward. Plain matrices are used in special cases like setting up nonstandard camera projection.

In Unity, several Transform, Camera, Material, Graphics and GL functions use Matrix4x4.

Matrices in Unity are column major; i.e. the position of a transformation matrix is in the last column, and the first three columns contain x, y, and z-axes. Data is accessed as: row + (column*4). Matrices can be indexed like 2D arrays but note that in an expression like mat[a, b], a refers to the row index, while b refers to the column index.

using UnityEngine;

public class ExampleScript : MonoBehaviour
{
    void Start()
    {
        // get matrix from the Transform
        var matrix = transform.localToWorldMatrix;
        // get position from the last column
        var position = new Vector3(matrix[0,3], matrix[1,3], matrix[2,3]);
        Debug.Log("Transform position from matrix is: " + position);
    }
}

Static Variables

Variables

Public Functions

Static Functions

Operators