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10 cards from this deck
ad−bcad - bcad−bc
Matrix with det(A)=0\det(A) = 0det(A)=0
No inverse exists
det(A)×det(B)\det(A) \times \det(B)det(A)×det(B)
(1001)\begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix}(1001)
AA−1=A−1A=IAA^{-1} = A^{-1}A = IAA−1=A−1A=I
1det(A)(d−b−ca)\frac{1}{\det(A)} \begin{pmatrix} d & -b \\ -c & a \end{pmatrix}det(A)1(d−c−ba)
1det(A)\frac{1}{\det(A)}det(A)1
±1\pm 1±1 (either +1 or -1)
x=M−1b\mathbf{x} = M^{-1}\mathbf{b}x=M−1b
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