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Adjoint Matrix Calculator

Compute the adjoint matrix for 2x2 or 3x3 matrices. The adjoint is the transpose of the cofactor matrix.

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Formula

adj(A) = (Cofactor(A))^T

Compute cofactors with the alternating sign pattern, then transpose the cofactor matrix to get the adjoint.

Worked Example

Select size 2 and enter a 2x2 matrix. The calculator returns the adjoint matrix.

Frequently Asked Questions

How is adjoint used?

Adjoint is used in the inverse formula A^{-1} = adj(A) / det(A) when the determinant is nonzero.

Is adjoint the same as conjugate transpose?

No. Adjoint here means adjugate, not conjugate transpose.

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