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Given a vector A, and two second order tensors Bij and Cij, prove that: (a) Fij = Bij + C is a second order

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Given a vector A, and two second order tensors Bij and Cij, prove that: (a) Fij = Bij + C is a second order tensor. (b) Hijk = AiBjk is a third order tensor. (c) B is a scalar. (d) Hijs = A, Bj; is a vector.

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Solutions Step 1 In the expression FiBiCy where Fi is a vector Bi is a secondorder tensor and Cy is another secondorder tensor the result is a secondorder tensor By expressing it in index notation FiB... blur-text-image

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