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CBSE Class 12-science Answered

Define invertible matrix with example.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
answered-by-expert 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 | 04 Jun, 2014, 03:23: PM
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