#### The question was

Verify that (1.98) is indeed equivalent to (1.97), and that they are both equivalent to the last two equations in (1.93).#### My answer was

We hadThe last two of these are Maxwell's electromagnetic field equations written as tensors.

We also had the electromagnetic field strength tensor, which was claimed to be

The first part of the question is easy: Expand ∂

_{[μ}F_{νλ]}according to the recipe in (1.80).
The second part is more intimidating because, equation
(1.98) looks like a monster. It is really 64 equations for all possible values
of μ,ν,λ. However, when you work them out, due to the much redundancy and the
antisymmetry of F

_{μν}we are left with only four!
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