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.