APP description

Inverse matrix: Let A be an n-th order square matrix on the number field. If there is another n-order matrix B on the same number field, let: AB=BA=E. Then we call B the inverse matrix of A, and A is called the invertible matrix. The necessary and sufficient condition for A to be a reversible matrix is ∣A ∣≠ 0, that is, the inverse matrix is a non-singular matrix. (When ∣A∣=0, A is called a singular matrix).

Usage example

Matrix A =

5; 2

1; 3

Click "Calculate" to output the result

Adjoint matrix (Adj(A)):

3; -2

-1; 5

|A|: 13

A^-1:

3/13; -2/13

-1/13; 5/13

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