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delta. So we have e_i e_j^T = delta_Ij. Now look at the product of a P matrix with a P transpose matrix. If we write P_{ijk} P^T_{lmn}, and do the matrix multiplication in the usual way of
The Remarkable Relationship between the Levi-Civita Symbol and the Kronecker Delta | Deep Dive Maths
delta. So we have e_i e_j^T = delta_Ij. Now look at the product of a P matrix with a P transpose matrix. If we write P_{ijk} P^T_{lmn}, and do the matrix multiplication in the usual way of
The Remarkable Relationship between the Levi-Civita Symbol and the Kronecker Delta | Deep Dive Maths
want to do this reflection through the want to do this reflection through the orange axis which I'll transpose over orange axis which I'll transpose over
Abstract Algebra | The dihedral group