3x3 matrix determinant, adjoint matrix, inverse matrix calculator

Matrix(A)
Adjoint matrix (adj A)=
Determinant of a matrix (|A|) =
Inverse matrix = (adj A)/|A| =

Inverse matrix: Let A be an n-order square matrix in the number field. If there exists another n-order matrix B in the same number field, such that: AB=BA=E. Then we call B the inverse matrix of A, and A is called a reversible matrix.

In linear algebra, the adjoint matrix of a square matrix is ​​a concept similar to the inverse matrix. If the matrix is ​​reversible, then the difference between its inverse matrix and its adjoint matrix is ​​only one coefficient. However, the adjoint matrix is ​​also defined for non-invertible matrices, and division is not required.

In mathematics, the determinant is a formula generated by solving a system of linear equations. The characteristics of the determinant can be summarized as a multiple alternating linear form, which makes the determinant a function that describes the "volume" in Euclidean space.