Editing Matrix representation (section)

== In 3D graphics ==
The choice of representation for 4×4 matrices commonly used in [[3D graphics]] affects the implementation of matrix/vector operations in systems with packed [[SIMD instruction]]s:

=== Row major ===
With row-major matrix order, it is easy to transform vectors using [[dot product]] operations, since the coefficients of each component are sequential in memory. Consequently, this layout may be desirable if a processor supports dot product operations natively. It is also possible to efficiently use a '3×4' affine transformation matrix without padding or awkward permutes.

=== Column major ===
With column-major order, a "matrix × vector" multiply can be implemented with vectorized [[multiply-add]] operations, if the vector's components are broadcast to each [[SIMD lane]]. It is also easy to access the [[basis vector]]s represented by a [[transformation matrix]] as individual column vectors, as these are contiguous in memory.