Adjoint Matrix Calculator

The adjoint (or adjugate) of a square matrix is the transpose of its cofactor matrix.

For a 2x2 Matrix:

Given a matrix [[a, b], [c, d]], the adjoint is found by swapping the diagonal elements and negating the off-diagonal elements: [[d, -b], [-c, a]].

For a 3x3 Matrix:

• Step 1: Find the Matrix of Minors. For each element, find the determinant of the 2x2 matrix that remains after removing its row and column.
• Step 2: Find the Matrix of Cofactors. Apply a "checkerboard" pattern of signs to the matrix of minors: [[+, -, +], [-, +, -], [+, -, +]].
• Step 3: Find the Adjoint. Transpose the matrix of cofactors (swap rows and columns).