Algebra Archive: Questions from December 01, 2022
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2. Diagonalize the matrix A, if possible. \[ A=\left[\begin{array}{ll} 2 & 3 \\ 4 & 1 \end{array}\right] \]2 answers -
3. Diagonalize the matrix \( B \), if possible. \[ B=\left[\begin{array}{ccc} -1 & 4 & -2 \\ -3 & 4 & 0 \\ -3 & 1 & 3 \end{array}\right] \]2 answers -
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\[ A=\left[\begin{array}{ll} 2 & 2 \\ 4 & 9 \end{array}\right] \text { and } B=\left[\begin{array}{cc} -1 & 5 \\ -1 & -3 \end{array}\right] \] (a) Find \( A B \) if possible. (b) Find \( B A \) if pos2 answers -
Help on all of question 1 !!!
1. Solve by the substitution method: (i) \( \left\{\begin{array}{l}x+2 y=1 \\ 5 x-4 y=-23\end{array}\right. \) (ii) \( \left\{\begin{array}{l}-\frac{2}{3} x+y=2 \\ 3 x-\frac{1}{2} y=4\end{array}\right2 answers -
Los virus de la influenza A llevan ocho tipos de segmentos de ADN. Cuando un individuo se infecta con dos cepas diferentes del virus, cada nueva particula viral se forma seleccionando cada uno de sus2 answers -
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3. Probar que la función \( \varphi\left(a+b X+\left\langle X^{2}+1\right\rangle\right)=a+b i \) es un isomorfismo entre los cuerpos \( Q[X] /\left\langle X^{2}+1\right\rangle \) y \( Q[i] \).0 answers -
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