06-240/Classnotes For Tuesday September 26: Difference between revisions
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== Vector Space Examples == |
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#{0} is vector space over any fields. |
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#<math>F^n=(a_1,...,a_n), a_i \in F</math> and can be represented by |
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#<math>M_{m \times n}(F)= |
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\left\{\left( |
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\begin{array}{ccc} |
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a_{11}& ... &a_{1n}\\ |
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\vdots & \vdots & \vdots \\ |
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a_{m1} & ... & a_{mn} |
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\end{array} \right) \right\} |
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</math> |