How to get relative rotation matrix from two orientation values in android?

1. How do you find the rotation matrix between two rotation matrices?
2. How can you derive the rotation matrix for Y axis 2D?
3. Is the product of two rotation matrices a rotation matrix?

How do you find the rotation matrix between two rotation matrices?

Using rotation matrices¶

The distance between rotations represented by rotation matrices P and Q is the angle of the difference rotation represented by the rotation matrix R = P Q ∗ .

How can you derive the rotation matrix for Y axis 2D?

Rotation Matrix in 2D

The process of rotating an object with respect to an angle in a two-dimensional plane is 2D rotation. We accomplish this rotation with the help of a 2 x 2 rotation matrix that has the standard form as given below: M(θ) = ⎡⎢⎣cosθ−sinθsinθcosθ⎤⎥⎦ [ c o s θ − s i n θ s i n θ c o s θ ] .

Is the product of two rotation matrices a rotation matrix?

The inverse of a rotation matrix is its transpose, which is also a rotation matrix: The product of two rotation matrices is a rotation matrix: For n greater than 2, multiplication of n×n rotation matrices is not commutative.