06-240/Classnotes For Tuesday September 26

Vector Space Examples

1. {0} is vector space over any fields.
2. $F^{n}=(a_{1},...,a_{n}),a_{i}\in F$ and can be represented by
3. $M_{m\times n}(F)=\left\{\left({\begin{array}{ccc}a_{11}&...&a_{1n}\\\vdots &\vdots &\vdots \\a_{m1}&...&a_{mn}\end{array}}\right)\right\}$