với '''A''' là ma trận ''m''×''n'', gọi là '''biến đổi ma trận của ''T'''''.
== Uses ==
Matrices allow arbitrary linear transformations to be represented in a consistent format, suitable for computation. This also allows transformations to be concatenated easily (by multiplying their matrices).
Linear transformations are not the only ones that can be represented by matrices. Using [[homogeneous coordinates]], both [[affine transformation]]s and [[perspective projection]]s on '''R'''<sup>''n''</sup> can be represented as linear transformations on '''RP'''<sup>''n''+1</sup> (that is, ''n''+1-dimensional [[real projective space]]). For this reason, 4x4 transformation matrices are widely used in [[3D computer graphics]].