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The dual of a four-dimensional second-rank tensor 𝐁 may be defined by 𝐁̃, where the elements of the dual tensor are given by B̃^i j=(1)/(2 !) ε^i j k l Bk l . Show that 𝐁̃ transforms as (a) a second-rank tensor under rotations, (b) a pseudotensor under inversions. | Numerade
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