If A, B, C are three non zero square matrices of same order, find the condition

on A such that AB = AC implies B = C.**If A is invertible and AB=AC, then B=C is true. **

**Proof:**

AB = AC (given)

Multiplying both sides by , we get

AB = AC

We know,

**A = I**

So,

**IB = IC**

OR, **B=C**** **

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