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10 cards from this deck
ad−bcad - bcad−bc
Det. after removing element's row and column
Plus, minus, plus
Area of original × ∣det(T)∣|\det(\mathbf{T})|∣det(T)∣
Reflection in the transformation
det(A)≠0\det(\mathbf{A}) \neq 0det(A)=0 (non-singular)
Swap diagonals, change signs of off-diagonals, ÷ by det.
(+−+−+−+−+)\begin{pmatrix} + & - & + \\ - & + & - \\ + & - & + \end{pmatrix}+−+−+−+−+
det(M)≠0\det(\mathbf{M}) \neq 0det(M)=0
No solution or infinitely many solutions
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