Algebra Archive: Questions from July 06, 2023
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6. Sea \( V=\mathbb{R}^{2} \) y \( W=\{ \) polinomios de grado a lo más 2\( \}, T: V \rightarrow W \), dada por \( T(a, b)= \) \( (a+b) x^{2}+(a-b) x+b \). Verificar que \( T \) es lineal.2 answers -
L²³ ³² Convert π/4 π/2 [*/* */² √²×² pª sin ødpdøde 0 π/4 π/2 [*¹*1*³*² π/2 18-1²-y² π/3 *π/2 [*/³ [*¹² ²*² pª sin ødpdedø 0 (x² + y² +2²)dzdxdy into spherical coor
Convert \( \int_{0}^{3} \int_{0}^{\sqrt{9-y^{2}}} \int_{\sqrt{x^{2}+y^{2}}}^{\sqrt{18-x^{2}-y^{2}}}\left(x^{2}+y^{2}+z^{2}\right) d z d x d y \) into spherical coordinates. \[ \begin{array}{l} \int_{02 answers -
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Encuentra el valor exacto de 6,666,664 2 (no en notación científica). ¿Qué tal 6,666,666,666,664 2 ?1 answer
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2 y 3.Las dos porfavor, no les entiendo
2. (10 puntos) Encuentre (si existe) los coeficientes \( \alpha \) y \( \beta \) tal que se cumpla la siguiente igualdad \[ \alpha\left(\begin{array}{ll} 5 & 2 \end{array}\right)+\beta\left(\begin{arr2 answers -
Cuatro y cinco, no entiendo cómo resolverlas
4. (20 puntos) Determine cuál de los siguientes es una base de \( \mathbb{R}^{3} \), a) \( b_{1}=\left\{\begin{array}{ll}1 & 2\end{array}\right. \) 3), (3 2 1), \( \left(\begin{array}{lll}2 & 1 & 0\e2 answers -
\[ A=[4] \quad B=\left[\begin{array}{lll} 2 & 3 & 5 \end{array}\right] \] (a) Find \( A B \) if possible. (b) Find \( B A \) if possible. (c) Find \( A^{2} \) if possible. (Hint: \( \left.A^{2}=A \cdo2 answers -
\[ A=\left[\begin{array}{ll} 1 & 3 \\ 5 & 7 \\ 2 & 0 \end{array}\right] \quad B=\left[\begin{array}{ccc} 4 & 3 & 1 \\ -4 & 1 & 10 \end{array}\right] \] (a) Find \( A B \) if possible. (b) Find \( B A2 answers -
\[ A=\left[\begin{array}{cc} 4 & -6 \\ 6 & 8 \end{array}\right] \text { and } B=\left[\begin{array}{cc} -2 & 2 \\ 1 & 3 \end{array}\right] \] (a) Find \( A B \) if possible. (b) Find \( B A \) if poss2 answers -
No entiendo la 6
para dicho espacio a) \( \left\{\left(\begin{array}{lll}4 & 5 & 6\end{array}\right),\left(\begin{array}{lll}1 & 2 & 3\end{array}\right),\left(\begin{array}{lll}0 & 0 & 1\end{array}\right),\left(\begin2 answers -
3 20 4-[-³12 3 3] A= 5 5 2 2 B= 1 4 63 (a) Find AB if possible. (b) Find BA if possible. (c) Find A² if possible. (Hint: A² = A.A) questi a popup
\[ A=\left[\begin{array}{ccc} 3 & 2 & 0 \\ -1 & 5 & 5 \end{array}\right] \quad B=\left[\begin{array}{cc} 2 & 2 \\ 1 & 4 \\ 6 & 3 \end{array}\right] \] (a) Find \( A B \) if possible. (b) Find \( B A \2 answers -
\[ A=\left[\begin{array}{cc} 4 & -6 \\ 6 & 8 \end{array}\right] \text { and } B=\left[\begin{array}{cc} -2 & 2 \\ 1 & 3 \end{array}\right] \] (a) Find \( A B \) if possible. (b) Find \( B A \) if poss2 answers -
A = 4 4 -2 - 1 0 7 2 1 +H B = 4 3 3 2 (a) Find AB if possible. (b) Find BA if possible. (c) Find A² if possible. (Hint: A² = A.A)
\[ A=\left[\begin{array}{ccc} 4 & 4 & -2 \\ -1 & 0 & 7 \end{array}\right] \quad B=\left[\begin{array}{ll} 2 & 1 \\ 4 & 3 \\ 3 & 2 \end{array}\right] \] (a) Find \( A B \) if possible. (b) Find \( B A2 answers -
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los incisos a,b ,c y d
1. (10 puntos) Preguntas bullet a) El conjunto \( \left\{\vec{v}_{1}, \vec{v}_{2}, \vec{v}_{3}, \vec{v}_{4}\right\} \in \mathbb{R}^{n} \) son linealmente independientes, determine si el conjunto, es o2 answers