Give me the determinant of \(A = \begin{bmatrix} a & b \\ c & d \end{bmatrix}\):
Note 1: ETH::LinAlg
Deck: ETH::LinAlg
Note Type: Horvath Classic
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Note Type: Horvath Classic
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Give me the determinant of \(A = \begin{bmatrix} a & b \\ c & d \end{bmatrix}\):
\[A^{-1} = \frac{1}{ad - bc} \begin{bmatrix} d & -c \\ -b & a \end{bmatrix}\]
Field-by-field Comparison
| Field | Before | After |
|---|---|---|
| Front | Give me the determinant of \(A = \begin{bmatrix} a & b \\ c & d \end{bmatrix}\): | |
| Back | \[A^{-1} = \frac{1}{ad - bc} \begin{bmatrix} d & -c \\ -b & a \end{bmatrix}\] |