Garrett Cole
05/22/2023 · Middle School
Determinar si un conjunto es una base En los ejerci- cios 45 y 46 , determine si \( S \) es una base de \( M_{2,2} \). 45. \( S=\left\{\left[\begin{array}{ll}2 & 0 \\ 0 & 3\end{array}\right],\left[\begin{array}{ll}1 & 4 \\ 0 & 1\end{array}\right],\left[\begin{array}{ll}0 & 1 \\ 3 & 2\end{array}\right],\left[\begin{array}{ll}0 & 1 \\ 2 & 0\end{array}\right]\right\} \)
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El conjunto \( S \) es una base de \( M_{2,2} \) porque es linealmente independiente y genera todas las matrices en \( M_{2,2} \).
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