Category:Vector Space on Cartesian Product
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This category contains results about Vector Space on Cartesian Product.
Let $\struct {K, +_K, \times_K}$ be a division ring.
Let $n \in \N_{>0}$.
Let $+: K^n \times K^n \to K^n$ be defined as:
- $\tuple {\alpha_1, \ldots, \alpha_n} + \tuple {\beta_1, \ldots, \beta_n} = \tuple {\alpha_1 +_K \beta_1, \ldots, \alpha_n +_K \beta_n}$
Let $\times: K \times K^n \to K^n$ be defined as:
- $\lambda \times \tuple {\alpha_1, \ldots, \alpha_n} = \tuple {\lambda \times_K \alpha_1, \ldots, \lambda \times_K \alpha_n}$
Then $\struct {K^n, +, \times}_K$ is the $K$-vector space $K^n$.
Pages in category "Vector Space on Cartesian Product"
The following 4 pages are in this category, out of 4 total.