Q. 975.0( 1 Vote )

Which of the following statements are True or False

If A, B and C are square matrices of same order, then AB = AC always implies that B = C.

Answer :

False

If AB = AC => B=C


The above condition is only possible if matrix A is invertible


(i.e |A|≠0).


If A is invertible, then


A-1(AB)= A-1(AC)


(A-1A)B = (A-1A)C


IB=IC


B=C


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