Define contravariant and covariant tensors of rank 2. Prove that vⁱ = g^ijaj transform contravariantly.

A tensor of rank 2 is a mathematical object that can be represented in a two-dimensional array of components. It can have multiple forms, two of which are contravariant and covariant tensors.

### Contravariant Tensor (Rank 2):
A contravariant tensor of rank 2 is a tensor that transforms in the same manner as the components of a vector under a change of coordinates. The components of a contravariant tensor \( T^{ij} \) in a new coordinate system \( x' \) are related to those in ______ _________ _____ ____ ___ ____ ___ __________ ______ _______ _______.
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