Accedmychevron_right11thchevron_rightmathchevron_rightMatrices And Determinantschevron_rightExercise 4.2

Key facts

If A0|A|\ne 0, then:

A1=1Aadj(A)A^{-1}=\frac{1}{|A|}\operatorname{adj}(A)

and:

AA1=A1A=IAA^{-1}=A^{-1}A=I