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Which of the following statements is incorrect regarding matrices ?

For any matrices A and B of suitable orders,

Solution

✅ Correct Option: 4

Standard matrix transpose properties: (A′)′=A(A')'=A, (KA)′=KA′(KA)'=KA', (A+B)′=A′+B′=B′+A′(A+B)'=A'+B'=B'+A' are all correct.

The correct rule is (AB)′=B′A′(AB)'=B'A', not A′B′A'B'. Hence option 4 is incorrect.

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