Kelly Cook
01/19/2024 · Junior High School
2) a) Calcular el determinante de la siguiente matriz: \( \quad A=\left(\begin{array}{lll}0 & 1 & 0 \\ 1 & 4 & 2 \\ 0 & 3 & 1\end{array}\right) \) b) Es A invertible? Justifique. En caso de ser invertible halle su inversa. c) Cuál es el rango de A?
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a) El determinante de la matriz \( A \) es -1.
b) La matriz \( A \) es invertible y su inversa es \( A^{-1} = \begin{pmatrix} 2 & 1 & -2 \\ 1 & 0 & 0 \\ -3 & 0 & 1 \end{pmatrix} \).
c) El rango de \( A \) es 3.
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