Student[LinearAlgebra] - Maple Programming Help

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Student[LinearAlgebra]

 compute the adjoint of a square Matrix

Parameters

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

Description

 • The Adjoint(A) command constructs Matrix M such that $A\phantom{\rule[-0.0ex]{0.5em}{0.0ex}}.\phantom{\rule[-0.0ex]{0.5em}{0.0ex}}M=\mathrm{Determinant}\left(A\right)\phantom{\rule[-0.0ex]{0.5em}{0.0ex}}.\phantom{\rule[-0.0ex]{0.5em}{0.0ex}}\mathrm{IdentityMatrix}\left(\mathrm{Dimensions}\left(A\right)\right)$.

Examples

 > $\mathrm{with}\left(\mathrm{Student}[\mathrm{LinearAlgebra}]\right):$
 > $A≔⟨⟨9,4,1⟩|⟨1,3,-1⟩|⟨0,8,1⟩⟩:$
 > $C≔\mathrm{Adjoint}\left(A\right)$
 ${C}{≔}\left[\begin{array}{rrr}{11}& {-}{1}& {8}\\ {4}& {9}& {-}{72}\\ {-}{7}& {10}& {23}\end{array}\right]$ (1)
 > $A\phantom{\rule[-0.0ex]{0.5em}{0.0ex}}.\phantom{\rule[-0.0ex]{0.5em}{0.0ex}}C$
 $\left[\begin{array}{rrr}{103}& {0}& {0}\\ {0}& {103}& {0}\\ {0}& {0}& {103}\end{array}\right]$ (2)
 > $\mathrm{Determinant}\left(A\right)$
 ${103}$ (3)