Skew-Symmetric Matrices and the Hat Operator
In this section, we'll talk about properties of skew-symmetric matrices and the hat operator.
A skew-symmetric matrix must have all 0 on its diagonal.
In particular, notice that because of the constraints for skew symmetry, this matrix only has three independent parameters.
The hat operator can switch beetween skew-sysmmetric matrix and a column vector.
The cross product can be expressed by hat operator.
Example: Representation of Angular Velocities