Consider the following statements I. If AB and BA are both defined, then they must be equal i.e., AB = BA. II. If AB and BA are both defined, it is not necessary that AB = BA Choose the correct option.

Question

Consider the following statements I. If AB and BA are both defined, then they must be equal i.e., AB = BA. II. If AB and BA are both defined, it is not necessary that AB = BA Choose the correct option. (A) Only I is true (B) Only II is true (C) both I and II are true (D) None of these

Tardigrade Admin · Accepted Answer

Non-commutativity of multiplication of matrices. If AB and BA are both defined, it is not necessary that AB = BA

Q. Consider the following statements
I. If $A B$ and $B A$ are both defined, then they must be equal i.e., $A B = B A$ .
II. If $A B$ and $B A$ are both defined, it is not necessary that $A B = B A$
Choose the correct option.

Only I is true

Only II is true

both I and II are true

None of these

Non-commutativity of multiplication of matrices. If $A B$ and $B A$ are both defined, it is not necessary that $A B = B A$

Q. Consider the following statements I. If AB and BA are both defined, then they must be equal i.e., AB=BA. II. If AB and BA are both defined, it is not necessary that AB=BA Choose the correct option.