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10 cards from this deck
Matrix that when multiplied by original gives identity matrix
A×A−1=I=A−1×AA \times A^{-1} = I = A^{-1} \times AA×A−1=I=A−1×A
[1001]\begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix}[1001]
Only square matrices (same rows and columns)
ad−bcad - bcad−bc
When its determinant equals zero
A×X=CA \times X = CA×X=C
Variables matrix containing the unknowns
X=A−1×CX = A^{-1} \times CX=A−1×C
Not commutative; order matters
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