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The given matrix equation is:

\[
\begin{bmatrix} 4 \\ 1 \end{bmatrix} X = \begin{bmatrix} -4 & 8 \\ -1 & 2 \end{bmatrix}
\]

To solve this, we need to recognize that this is a system of equations. The vector \(\begin{bmatrix} 4 \\ 1 \end{bmatrix}\) represents the unknown variables multiplied by the matrix on the right-hand side. This means the equation can be written as two simultaneous equations.

1. First row of the matrix: \( 4x_1 + 1x_2 = -4 \)
2. Second row of the matrix: \( 4x_1 + 1x_2 = 8 \)

We can solve these equations by standard methods of solving a system of

Solve the matrix equation [4 1]X = [-4 8; -1 2]

Learn how to solve the matrix equation [4 1]X = [-4 8; -1 2] using key concepts from matrix algebra. This example demonstrates solving for unknowns in a matrix multiplication problem, suitable for advanced high school or undergraduate students.

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