In some inertial reference frame, the vector A(vector) and second rank tensor T have as their only nonzero components A 0 1, A 1 2 T 00 3, T 01 T 10 2, T 11 1 Evaluate T (A(vector), A(vector)) and the components of T (A(vector) , ) and A(vector) T ...

First lets find TA A by using the Einstein summation convention TA A Tij Ai Aj where repeated i ...

In some inertial reference frame, the vector A(vector) and second-rank tensor T have as their only nonzero

Question:

In some inertial reference frame, the vector A(vector) and second-rank tensor T have as their only nonzero components A⁰ = 1, A¹ = 2; T⁰⁰ = 3, T⁰¹ = T¹⁰ = 2, T¹¹ = −1. Evaluate T (A(vector), A(vector)) and the components of T (A(vector) , ___) and A(vector) ⊗ T.

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