Inverse of Matrix is Scalar Product of Adjugate by Reciprocal of Determinant/Examples/Order 2

Examples of Use of Inverse of Matrix is Scalar Product of Adjugate by Reciprocal of Determinant

$\begin {pmatrix} a & b \\ c & d \end {pmatrix}^{-1} = \dfrac 1 {a d - b c} \begin {pmatrix} d & -b \\ -c & a \end {pmatrix}$

Sources

• 1998: Richard Kaye and Robert Wilson: Linear Algebra ... (previous) ... (next): Part $\text I$: Matrices and vector spaces: $1$ Matrices: $1.7$ Minors and cofactors