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Solving equations by inversion

Linear equations

Concept 9 of 10 in Determinants

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Think about this

Take 3x+2y=73x + 2y = 7 and x+y=3x + y = 3. Is there one matrix that turns the column of right-hand sides [73]\begin{bmatrix} 7 \\ 3 \end{bmatrix} straight into [xy]\begin{bmatrix} x \\ y \end{bmatrix}?