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10 cards from this deck
Can use any row or any column
Starts with + in checkerboard pattern
∣M∣=∣MT∣|\mathbf{M}| = |\mathbf{M}^T|∣M∣=∣MT∣
Add/subtract multiple of row/column to another row/column
Changes sign: det(A)→−det(A)\det(\mathbf{A}) \rightarrow -\det(\mathbf{A})det(A)→−det(A)
Multiplies determinant by kkk
Create zeros using row/column operations
Signs cancel out, determinant remains positive
Determinant must be non-zero
Swapping two rows OR swapping two columns
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