(a) Prove that h(s) defined by Is an symmetric tensor. (b) Prove that h(A) defined by Is...

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(a) Prove that h(s) defined by
ho(A, B) = thÃ, B) + fh(B, A)

Is an symmetric tensor.
(b) Prove that h(A) defined by

(a) Prove that h(s) defined byIs an symmetric tensor.(b) Prove

Is an antisymmetric tensor.
(c) Find the components of the symmetric and antisymmetric parts of Š— defined in Exer. 14.
(d) Prove that if h is an antisymmetric (02) tensor.
h(,) = 0
For any vector .
(e) Find the number of independent components h(s) and h(A) have?

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