1. Tardigrade
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  3. Mathematics
  4. 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.

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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.

Matrices

Solution:

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