Griffiths Brooks
10/18/2024 · Elementary School
Sec \( T: \mathbb{R}^{2} \rightarrow \mathbb{R}^{2} \) y considere en \( \mathbb{R}^{2} \) las bases \( B\{(1,0),(0,1)\} \) y \( B^{\prime}=\{(1,1),(3,-2)\} \) Suponga que la matriz de representación AT respecto a la Base \( B \) es AT: \( \left(\begin{array}{ll}1 & 3 \\ 2 & 2\end{array}\right) \) Encuentre la matriz de representación AT respecto \( a \) la base \( B^{\prime} \)
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La matriz de representación \( A_{T}^{B'} \) respecto a la base \( B' \) es \( \begin{pmatrix} 4 & 0 \\ 0 & -1 \end{pmatrix} \).
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