Allan Bowman
06/30/2024 · Middle School
19. Determine la ecuación caracteristica, los valores caracteristicos y los vectores caracteristicos correspondientes a cada matriz \( 3 \times 3 \) dada [videos guia: https://voutu.be/25FFzOyhAmk; https:///youtu.be/f2RfscZ \( 2 \times \) AbE] a. \( \left[\begin{array}{ccc}1 & 2 & -2 \\ -2 & 5 & -2 \\ -6 & 6 & -3\end{array}\right] \) b. \( \left[\begin{array}{ccc}0 & -3 & 5 \\ -4 & 4 & -10 \\ 0 & 0 & 4\end{array}\right] \)
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Para la matriz \( A \):
- Valores característicos: \( 0, 4, -1 \)
- Vectores característicos: \( v_1, v_2, v_3 \) (se deben calcular).
Para la matriz \( B \):
- Valores característicos: \( 0, 4 \) (con multiplicidad 2)
- Vectores característicos: \( v_1, v_2 \) (se deben calcular).
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