(a) UHV is an arbitrary second-rank symmetric tensor (UVH = UHV) and VHV is an arbitrary second-rank antisymmetric tenso

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(a) UHV is an arbitrary second-rank symmetric tensor (UVH = UHV) and VHV is an arbitrary second-rank antisymmetric tenso

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A Uhv Is An Arbitrary Second Rank Symmetric Tensor Uvh Uhv And Vhv Is An Arbitrary Second Rank Antisymmetric Tenso 1
A Uhv Is An Arbitrary Second Rank Symmetric Tensor Uvh Uhv And Vhv Is An Arbitrary Second Rank Antisymmetric Tenso 1 (127.07 KiB) Viewed 106 times
(a) UHV is an arbitrary second-rank symmetric tensor (UVH = UHV) and VHV is an arbitrary second-rank antisymmetric tensor (Vu = -VH). i. Show that Uuv is a symmetric tensor and that Vuv is an antisymmetric tensor. ii. Show that UWV Vuv = 0. iii. Any arbitrary second-rank tensor Tuv may be expressed as the sum of symmetric and antisymmetric tensors, TMV = UHV + VHV. Give expressions for the tensors UHV and Vu in terms of Tu.
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