For a square matrix $A$ of order $n$, the inverse matrix $(3A)^{-1}$ is equal to:
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Be careful not to confuse this with the determinant property! For determinants, $\det(kA) = k^n \det(A)$, but for inverses, it is simply a linear reciprocal scalar: $(3A)^{-1} = \frac{1}{3}A^{-1}$.