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Math Formulas > Linear Algebra > Definition of an Inverse of a Matrix

Definition of an Inverse of a Matrix

A matrix B with size n x n is called the inverse of matrix A with size n x n, if:

AB = BA = I, where I is the identity matrix of order n.

Note that only square matrices have inverses, any non-square matrix doesn't have inverse.

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Definition of an Inverse of a Matrix

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