Question

Robotics

١- What is the inverse of rotation matrix ?

2-What the determnite of rotation matrix ?

Answer 1

Rotation Matrix is an Orthogonal Matrix i.e. if R is a rotation matrix the R'*R=I. i.e The product of rotation matrix and its transpose is Identity matrix. In other words the inverse of a rotation matrix is its transpose.

We know from knowledge of our matrix algebra that determinant of an orthogonal matrix is 1. Since, rotation matrix is an orthogonal matrix so its determinant will be 1.

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