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If A, B and C are the square matrices of...

If A, B and C are the square matrices of the same order and `AB=AC` implies B = C, then (A) A is singular (B) A is non-singular (C) A is symmetric (D) A may be any matrix B.

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From the matrix equation AB=AC we can conclude that B=C provide (A) A is singular (B) A is non singular (C) A is symmetric (D) A is square