(adsbygoogle = window.adsbygoogle || []).push({}); Let A, B be matrices with components A_{μν}, B_{μν}such that μ, ν = 0, 1, 2, 3. Indices are lowered and raised with the metric g_{μν}and its inverse g^{μν}. Find the trace of ABA^{-1}in component form?

Since A and B are generalized versions of tensors, finding their inverse becomes very tedious if we try to solve this by brute force, isn't it? Is there an easier way to find the solution?

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# Trace of product the of tensors

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