2x2 Inverse Matrix Calculator




result:
Adjoint matrix (Adj(A))

|A|
A -1


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. The necessary and sufficient condition for A to be a reversible matrix is ​​|A|≠0, that is, the reversible matrix is ​​a non-singular matrix. (When |A|=0, A is called a singular matrix.

Inverse matrix formula:

The inverse of a nxn matrix

The calculation method is as follows:

The inverse of a 2x2 matrix

The inverse of a 2x2 matrix