Adjoint - Maple Help

Student[LinearAlgebra]

 compute the adjoint of a square Matrix

 Calling Sequence Adjoint(A, options)

Parameters

 A - square Matrix options - (optional) parameters; for a complete list, see LinearAlgebra[Adjoint]

Description

 • The Adjoint(A) command constructs Matrix M such that $A·M=\mathrm{Determinant}\left(A\right)·\mathrm{IdentityMatrix}\left(\mathrm{Dimensions}\left(A\right)\right)$.

Examples

 > $\mathrm{with}\left(\mathrm{Student}\left[\mathrm{LinearAlgebra}\right]\right):$
 > $A≔⟨⟨9,4,1⟩|⟨1,3,-1⟩|⟨0,8,1⟩⟩:$
 > $C≔\mathrm{Adjoint}\left(A\right)$
 ${C}{≔}\left[\begin{array}{ccc}{11}& {-1}& {8}\\ {4}& {9}& {-72}\\ {-7}& {10}& {23}\end{array}\right]$ (1)
 > $A·C$
 $\left[\begin{array}{ccc}{103}& {0}& {0}\\ {0}& {103}& {0}\\ {0}& {0}& {103}\end{array}\right]$ (2)
 > $\mathrm{Determinant}\left(A\right)$
 ${103}$ (3)