Question - Vector Addition Problem

Let the two vectors be

\[ \begin{bmatrix} 2 \\ 3 \\ 0 \end{bmatrix} + \begin{bmatrix} -1 & y \\ x & -2 \end{bmatrix} = \begin{bmatrix} 1 \\ -4 \\ 9 \\ -2 \end{bmatrix} \]

Set up the equation for each component:

1. \(2 - 1 = 1\)

2. \(3 + y = -4\)

3. \(0 + x = -2\)

From the first equation: \(1\) is valid.

From the second equation: \(y = -4 - 3 = -7\).

From the third equation: \(x = -2\).

Thus, \(x = -2\) and \(y = -7\).