It determines a rotation matrix based on the estimated gravitational components, the rotation matrix denoting rotation required for the first sensor to get aligned with the second sensor in orientation.

Since R {\displaystyle {\mathcal {R}}} is a rotation matrix its inverse is its transpose.

is a rotation matrix its inverse is its transpose.

The inverse of a rotation matrix is its transpose, which is also a rotation matrix:

An orientation matrix determination module determines an orientation rotation matrix for the three-dimensional object from the source direction matrix and the perspective direction matrix.

Said device includes: a first rotation matrix acquiring module, a first differential matrix acquiring module and a differential precoding matrix indicator acquiring module.

Being R the rotation matrix and T the translation matrix.

Also, a novel way to generate the rotation matrix is disclosed.

The matrix product of two rotation matrices is also a rotation matrix.

The product of two rotation matrices is a rotation matrix:

Further, the rotation matrix (306) and the auxiliary matrix (307) are each decomposed into a plurality of lifting matrices (308).

Multiplies the matrix by the matrix of translation.

How do I calculate the inverse of a rotation matrix?

How do I generate a rotation matrix in the X-axis?

How do I generate a rotation matrix in the Z-axis?