Show that if a tensor S is symmetric and a tensor U is skew-symmetric S:U=0.
Added by Peter G.
Step 1
Similarly, a tensor U is skew-symmetric if U_ij = -U_ji for all i and j. Now, let's consider the product of S and U, denoted by S:U. This is defined as the sum over all indices i and j of the product of S_ij and U_ij. Using the definitions of symmetric and Show more…
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