Answer
$-12$
Work Step by Step
$\det A=(1\cdot3\cdot2)+(3\cdot1\cdot3)+(4\cdot2\cdot3)-(3\cdot3\cdot4)-(3\cdot1\cdot1)-(2\cdot2\cdot3)=6+9+24-36-3-12=-12$
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