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

False

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True

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Solution

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 $A B \neq B A$
Hence, the given statement is false

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