Timeline for Why is matrix not a different field altogether?
Current License: CC BY-SA 3.0
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| Mar 21, 2018 at 15:17 | comment | added | lisyarus | @tatan Invertible means $\exists \frac{1}{x}$ in the ring of scalars. For example, in $\mathbb{R}$ all non-zero elements are invertible. However, in $\mathbb Z$ only $\pm 1$ are invertible, and a matrix with integer coefficients is invertible (with the inverse also having integer coefficients) iff its determinant is $\pm 1$. | |
| Mar 21, 2018 at 14:47 | comment | added | Soham | Does invertible mean division in $\mathbb R$? | |
| Mar 21, 2018 at 14:44 | history | answered | lisyarus | CC BY-SA 3.0 |