(i) | $\text{Cof} A$ is a D5942: Real cofactor matrix for $A$ |

**adjugate matrix**for $A$ is the D6160: Real square matrix \begin{equation} (\text{Cof} A)^T \end{equation}

Definition D5943

Real adjugate matrix

Formulation 0

Let $A \in \mathbb{R}^{N \times N}$ be a D6160: Real square matrix such that

The **adjugate matrix** for $A$ is the D6160: Real square matrix
\begin{equation}
(\text{Cof} A)^T
\end{equation}

(i) | $\text{Cof} A$ is a D5942: Real cofactor matrix for $A$ |

Results

▶ | Adjugate for a 2-by-2 real square matrix |

▶ | Expression for a real matrix inverse in terms of adjugate |

▶ | Product of a real square matrix and its adjugate is a constant diagonal matrix |