Define invertible matrix with example.

### Asked by Topperlearning User | 4th Jun, 2014, 01:23: PM

Expert Answer:

If A is a square matrix of order m, and if there exists another square matrix B of the same order m, such that AB = BA = I, then B is called the inverse matrix of A and it is denoted by_{}. In that case A is said to be invertible.

For example, let

_{}

Thus B is the inverse of A, in other words B = _{} and A is inverse of B.

### Answered by | 4th Jun, 2014, 03:23: PM

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