The 4×4 Matrix features the same methods of accessing its variables as the 2x2 Matrix; but of course, has an extra column and row.

In addition to the base identity and custom matrix constructors, the 4×4 matrix also has constructors for:

• A 4×4 rotation matrix constructed by means of a rotation vector and the angle in degrees.
• A 4×4 scale matrix, taking a Vector3.
• A 4×4 matrix with translation in the x, y, and z directions as floats.
• A 4×4 projection matrix, taking FOV, aspect ratio, near and far as floats.
• A 4×4 orthographic projection matrix, taking left, right, bottom, top, near, far as floats

The 4×4 Matrix also features additional functions in its class. Here is the complete list:

• Transpose
• Determinant
• Inverse
• Adjugate
• RotateX, RotateY and RotateZ, all of which rotate the matrix by the given angle around their respective axis as the name dictates.
• RotateAxis, which rotates this matrix for the given angle around the given axis.
• Rotate, which takes pitch, yaw, and roll in degrees.
• Transform, with scale, rotation in Euler angles, and translation as Vector3 objects.
• Transform, with scale, rotation in axis Vector + angles as float, and translation.
• LookAt, which takes position, target, and up as Vector3 objects.
• SetScale, which takes a Vector3 or floats
• SetTranslation, which takes a Vector3 or floats

As part of the ImpulsePhysics::Matrices namespace, you also get access to these utility functions:

• Cut3x3, which 'cuts' a matrix out of a 4x4 matrix
• Minor
• Cofactor