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If A and B are both second-order tensors and t, u, v, and w are all vectors, prove the following identities using the indicial
If A and B are both second-order tensors and t, u, v, and w are all vectors, prove the following identities using the indicial notation: (1) A:B=Tr( AB' Tr(AB") (2) (txu)(vw) = (t - v)(u w)-(tw)(u v) (3) [t(uxv)]w = (t w)(u v)+ (u - w)(vt)+(v w)(tu)
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Advanced Engineering Mathematics
Authors: ERWIN KREYSZIG
9th Edition
0471488852, 978-0471488859
