The Frame of Reference Transformation Matrix (3006,00C6)
^{
A
}
M
_{
B
}
describes how to transform a point (
^{
B
}
x,
^{
B
}
y,
^{
B
}
z) with respect to RCS
_{
B
}
into (
^{
A
}
x,
^{
A
}
y,
^{
A
}
z) with respect to RCS
_{
A
}
according to the equation below.

[pic]

The Matrix Registration is expressible as multiple matrices, each in a separate item of the Matrix Sequence (0070,030A). The equation below specifies the order of the matrix multiplication where
*
M
*
*
_{
1
}
*
,

[pic]

where [pic] = [pic]

Registration often involves two or more RCS, each with a corresponding Frame of Reference Transformation Matrix. For example, another Frame of Reference Transformation Matrix
^{
A
}
M
_{
C
}
can describe how to transform a point (
*
^{
C
}
*

[pic]