Linear Algebra

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Moderate

Which are True? (Transposes)

LINALG-LN0XKW

Which of the following equations is true for all pairs of $3\times3$ matrices $A$ and $B$?

Select ALL that apply.

A

$(A+B)^T=A^T+B^T$

B

$(AB)^T=A^TB^T$

C

$(A+B)^2=A^2+2AB+B^2$

D

$(-A)^T=-(A^T)$