Question

State whether the following statement is True or False: Matrix multiplication is commutative.

• A. False
• B. True

Answer 1

The correct option is A False

multiplication.

• If 𝐴𝐵 is defined, it is not necessary that 𝐵𝐴 is defined.
• Also, if 𝐴𝐵 and 𝐵𝐴 are defined, it is not necessary that they have same order.
• Further if 𝐴𝐵 and 𝐵𝐴 are defined and have same order, it is not necessary, their corresponding elements are equal.

So, in general $AB\ne BA$
Hence, the given statement is false