---- > [!theorem] Theorem. ([[matrix inverse is adjugate over determinant]]) > For $A \in GL_{n}(\mathbb{R})$, we have $A^{-1}=\frac{\text{adj A}}{\det A}.$ > [!proof]- Proof. ([[matrix inverse is adjugate over determinant]]) > ~ ---- #### ----- #### References > [!backlink] > ```dataview TABLE rows.file.link as "Further Reading" FROM [[]] FLATTEN file.tags GROUP BY file.tags as Tag > [!frontlink] > ```dataview > TABLE rows.file.link as "Further Reading" > FROM outgoing([[]]) > FLATTEN file.tags as Tag > WHERE Tag = "#definition" OR Tag = "#theorem" OR Tag = "#MOC" OR Tag = "#proposition" OR Tag = "#axiom" > GROUP BY Tag > ```