Inverse Matrix Calculator

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Basic Information

Definition: A square matrix \(A=[a_{ij}]\) is said to be invertible or nonsingular if there exists a square matrix \(B=[b_{ij}]\) such that

\[AB = BA = I\] where \(I\) is the identity matrix. Such matrix \(B\) is unique, and we say that B is the inverse of \(A\) and is denoted by
\(B=A^{-1}\)

Although the concept is simple, the actual computation of an inverse can be quite cumbersome.

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