2. Hallar la matriz X tal que $$ 2 \mathrm{~A}-3 \mathrm{X}=\mathrm{B} $$, dadas $$ A=\left(\begin{array}{ccc}4 & -4 & 3 \ 8 & -3 & -1\end{array} ight) $$ y $$ B=\left(\begin{array}{ccc}3 & 2 & -6 \ 6 & -7 & -8\end{array} ight) $$ 3. Dadas las Matrices $$ A=\left(\begin{array}{ccc}4 & 6 & -1 \ 3 & 0 & 2 \ 1 & -2 & 5\end{array} ight), B=\left(\begin{array}{cc}2 & 4 \ 0 & 1 \ -1 & 2\end{array} ight) $$ y $$ C=\left(\begin{array}{l}3 \ 1 \ 2\end{array} ight) $$ Hallar (cuando sea posible) : $$ \mathrm{A}^{2} ; \mathrm{B}^{2} ; \mathrm{C}^{2} ; \mathrm{A} \cdot \mathrm{B} ; \mathrm{B} \cdot \mathrm{A} ; \mathrm{B} \cdot \mathrm{C} ; \mathrm{C} \cdot \mathrm{B} ; \mathrm{A}^{2}+3 \mathrm{~A} ; \mathrm{A} \cdot \mathrm{C} ; \mathrm{C} . \mathrm{A} $$

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2. Hallar la matriz X tal que $$ 2 \mathrm{~A}-3 \mathrm{X}=\mathrm{B} $$, dadas $$ A=\left(\begin{array}{ccc}4 & -4 & 3 \ 8 & -3 & -1\end{array}ight) $$ y $$ B=\left(\begin{array}{ccc}3 & 2 & -6 \ 6 & -7 & -8\end{array}ight) $$ 3. Dadas las Matrices $$ A=\left(\begin{array}{ccc}4 & 6 & -1 \ 3 & 0 & 2 \ 1 & -2 & 5\end{array}ight), B=\left(\begin{array}{cc}2 & 4 \ 0 & 1 \ -1 & 2\end{array}ight) $$ y $$ C=\left(\begin{array}{l}3 \ 1 \ 2\end{array}ight) $$ Hallar (cuando sea posible) : $$ \mathrm{A}^{2} ; \mathrm{B}^{2} ; \mathrm{C}^{2} ; \mathrm{A} \cdot \mathrm{B} ; \mathrm{B} \cdot \mathrm{A} ; \mathrm{B} \cdot \mathrm{C} ; \mathrm{C} \cdot \mathrm{B} ; \mathrm{A}^{2}+3 \mathrm{~A} ; \mathrm{A} \cdot \mathrm{C} ; \mathrm{C} . \mathrm{A} $$

Tucker Young · Accepted Answer

Para resolver el problema 2, la matriz $$ X $$ es: $$ X = \left(\begin{array}{ccc}-\frac{5}{3} & \frac{10}{3} & -4 \ -\frac{10}{3} & -\frac{1}{3} & -2\end{array}\right) $$ Para resolver el problema 3, se deben calcular varias operaciones con las matrices $$ A $$, $$ B $$, y el vector $$ C $$.

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