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You may use the division symbol. This division by a base has an important meaning: the duality. This notation has a lot of benefits, including reducing the amount of computations and explicitly showing the logic of linear algebra.
If $\alpha = (\alpha_1 ,\ \alpha_2 ,\ \cdots ,\ \alpha_n)$ and $\beta = ( \beta_1 ,\ \beta_2,\ \cdots ,\ \beta_n)$ are bases, ...
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