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Linear Algebra

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Matrix Algebra Equalities

LINALG-KUVYRV

Which of the following equations are true for ALL invertible $3\times3$ matrices $A$, $B$, and $C$?

Select ALL that apply.

A

$A+B=B+A$

B

$A+C=B+C$

C

$(AB^T)^T=BA^T$

D

$(A^T)^{-1}=(A^{-1})^T$

E

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