As proposed in https://github.com/numpy/numpy/issues/24687

Dynamicists frequently use the matrix representation of the cross product 
(https://en.m.wikipedia.org/wiki/Cross_product#Conversion_to_matrix_multiplication),
 and the lack of a skew symmetric operator in NumPy is a frequent source of 
annoyance.

I propose either adding a skew function to linalg that returns the skew 
symmetric matrix of a vector `np.cross(a, np.identity(a.shape[0]) * -1)` (from 
https://stackoverflow.com/questions/66707295/numpy-cross-product-matrix-function),
 or more radically, making the second argument `b` of np.cross optional and 
have `np.cross(a)` return the matrix representation of [a x]. For the latter, 
would need to consider the interaction with other kwargs and different input 
shapes.
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