Find \( -19 A \) if \( A \) is the matrix \( \left[\begin{array}{r}-6 \\ -5 \\ 2\end{array}\right] \)

To find \( -19 A \), you simply need to multiply each entry of the matrix \( A \) by \( -19 \). Given the matrix: \[ A = \left[\begin{array}{r}-6 \\ -5 \\ 2\end{array}\right] \] You perform the multiplication: \[ -19 A = -19 \left[\begin{array}{r}-6 \\ -5 \\ 2\end{array}\right] = \left[\begin{array}{r} -19 \times -6 \\ -19 \times -5 \\ -19 \times 2 \end{array}\right] \] Calculating each entry gives: \[ -19 \times -6 = 114, \] \[ -19 \times -5 = 95, \] \[ -19 \times 2 = -38. \] Combining these results, you have: \[ -19 A = \left[\begin{array}{r}114 \\ 95 \\ -38\end{array}\right]. \]