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

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

Tardigrade Admin · Accepted Answer

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.

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

Only I is true

Only II is true

Both I and II are true

Neither I nor II is true

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

Q. 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 AC=BC, then A=B Choose the correct option