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## Homework Statement

Let va be a dual vector field. Show that the quantity ∂

_{[a}v

_{b]}transforms as a type (0, 2) tensor under coordinate transformations.

## Homework Equations

w

_{u'}= (dx

^{u}/ dx

^{u'}) w

_{u}

## The Attempt at a Solution

My main problem is that I don't know what the brackets mean.

I know if they weren't there it doesn't transform like a tensor because there's a second derivative when you do out the math and it's non-tensorial that way.

Does anyone know of a good online resource that describes how to transform vectors? My textbook doesn't give very concrete examples.