Adjoint expression of matrix inverse
Use algebraic cofactors and determinants to express the inverse of a square matrix.
symbols, variables and units
A: square matrix; adj(A): adjoint matrix; det(A): determinant.
applicable conditions and boundaries
det(A)≠0; the decomposition algorithm is suitable for solving large matrices.
formula source code
The following is a copyable LaTeX expression.
A^{-1}=\frac{\operatorname{adj}(A)}{\det(A)}Reference and Extended Learning
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matrix inversedeterminant