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Adjoint Matrix Calculator
Calculate adjoint matrix step by step
The calculator will find the adjoint (adjugate, adjunct) matrix of the given square matrix, with steps shown.
Your Input
Find the adjoint matrix of $$$\left[\begin{array}{ccc}1 & 2 & 3\\4 & 5 & 6\\7 & 8 & 9\end{array}\right]$$$.
Solution
The classical adjoint, adjugate, or adjunct of a square matrix is the transpose of its cofactor matrix.
The cofactor matrix is $$$\left[\begin{array}{ccc}-3 & 6 & -3\\6 & -12 & 6\\-3 & 6 & -3\end{array}\right]$$$ (for steps, see cofactor matrix calculator).
The transpose of the cofactor matrix is $$$\left[\begin{array}{ccc}-3 & 6 & -3\\6 & -12 & 6\\-3 & 6 & -3\end{array}\right]$$$ (for steps, see matrix transpose calculator).
Answer
The adjoint matrix is $$$\left[\begin{array}{ccc}-3 & 6 & -3\\6 & -12 & 6\\-3 & 6 & -3\end{array}\right]$$$A.