(a) Prove that h(s) defined by Is an symmetric tensor (b) Prove that h(A) defined by Is an antisymmetric tensor (c) Find the components of the symmetric and antisymmetric parts of 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 ho(A, B) th, B) fh(B, A)

Question: (a) Prove that h(s) defined by Is an symmetric tensor. (b) Prove that h(A) defined by Is an antisymmetric tensor. (c) Find the components of

(a) Prove that h(s) defined by

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

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?

ho(A, B) = th, B) + fh(B, A)

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