====== 4x4 Matrix ======

The 4x4 Matrix features the same methods of accessing its variables as the [[2x2_matrix|2x2 Matrix]]; but of course, has an extra column and row.

In addition to the base identity and custom matrix constructors, the 4x4 matrix also has constructors for:
  * A 4x4 rotation matrix constructed by means of a rotation vector and the angle in degrees.
  * A 4x4 scale matrix, taking a [[3d_vector|Vector3]].
  * A 4x4 matrix with translation in the x, y, and z directions as floats.
  * A 4x4 projection matrix, taking ''FOV'', ''aspect ratio'', ''near'' and ''far'' as floats. 
  * A 4x4 orthographic projection matrix, taking ''left'', ''right'', ''bottom'', ''top'', ''near'', ''far'' as floats

The 4x4 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:
  * ''Minor''
  * ''Cofactor''