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Inverse by the adjoint method

Adjoint

Concept 6 of 10 in Determinants

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Think about this

Take A=[3143]A = \begin{bmatrix} 3 & 1 \\ 4 & 3 \end{bmatrix} and its adjoint [3−1−43]\begin{bmatrix} 3 & -1 \\ -4 & 3 \end{bmatrix}. Their product is not II. What single number must you divide the adjoint by to get A−1A^{-1}?