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Question
State whether the following statement is True or False: If π΄ and π΅ are two matrices of the same order, then AβB=BβA
State whether the following statement is True or False: If π΄ and π΅ are two matrices of the same order, then AβB=BβA
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Solution
The correct option is B False
Given that 𝐴 and 𝐵 are matrices of same order.
A−B=−(B−A) Thus A−B≠B−A
However, when A−B=B−A
⇒A−B=O orA=B
Hence, the given statement is False
Given that 𝐴 and 𝐵 are matrices of same order.
A−B=−(B−A) Thus A−B≠B−A
However, when A−B=B−A
⇒A−B=O orA=B
Hence, the given statement is False
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