Which two following statements are false?

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Can someone explain to me the points iii , iv and v? I understand 1 and 2, but don't get the other 3.

Thank you!

Matrices MC

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For statement three, here is a hint: $(AB)^T = B^TA^T$.

It should be that $(A^TB^T)^T = BA$. Remember that $BA$ and $AB$ are not the same.