The inverse of a matrix $A = \begin{bmatrix} a & b \\ c & d \end{bmatrix}$ is

  • A
    $\begin{bmatrix} d & -b \\ -c & a \end{bmatrix}$
  • B
    $\frac{1}{ad - bc} \begin{bmatrix} d & -b \\ -c & a \end{bmatrix}$
  • C
    $\frac{1}{|A|} \begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix}$
  • D
    $\begin{bmatrix} b & -a \\ d & -c \end{bmatrix}$

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