Consider the following statements in respect of square matrices A, B, C each of same order n :

1. AB = AC ⇒ B = C if A is non-singular

2. If BX = CX for every column matrix X having n rows then B = C

Which of the statements given above is/are correct ?  

1
1 only 
2
2 only 
3
Both 1 and 2
4
Neither 1 nor 2

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