I think there is a mistake here for the second determinant.
When you switch rows twice, I believe you get the same determinant as the initial matrix. So the answer should be 3, not -3...
Please confirm this as my background in determinants is weak.
2026-04-03 01:50:52.1775181052
Switching rows of matrices and its effect on the value of the determinant.
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As noted in the comments: you were correct about the mistake.