Question

Let $A, B$ and $C$ are three matrices of same order. Now, consider the following statements
I. If $A = B$, then $AC = BC$
II. If $A C=B C$, then $A=B$
Choose the correct option

• A. Only I is true
• B. Only II is true
• C. Both I and II are true
• D. Neither I nor II is true

Answer 1

Answer: (A)

For three matrices $A , B$ and $C$ of the same order, if $A=B$, then $A C=B C$ but the converse is not true.