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# Three-Factor Product Sizes

LINALG-G1VS5W

Suppose $A$ is a $3\times3$ matrix, $B$ is a $3\times4$ matrix, and $C$ is a $4\times3$ matrix.

Which of the following expressions is a well defined matrix of size $4\times4$?

A

$ABC$

B

$BAC$

C

$BCA$

D

$CAB$

E

$CBA$