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Student[LinearAlgebra]

 Determinant
 compute the determinant of a Matrix

 Calling Sequence Determinant(A, options)

Parameters

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

Description

 • The Determinant(A) command computes the determinant of the square Matrix A.

Examples

 > $\mathrm{with}\left({\mathrm{Student}}_{\mathrm{LinearAlgebra}}\right):$
 > $A≔⟨⟨1,2,3⟩|⟨4,5,6⟩|⟨7,8,2⟩⟩$
 ${A}{≔}\left[\begin{array}{ccc}{1}& {4}& {7}\\ {2}& {5}& {8}\\ {3}& {6}& {2}\end{array}\right]$ (1)
 > $\mathrm{Determinant}\left(A\right)$
 ${21}$ (2)
 > $B≔⟨⟨1-x,2⟩|⟨3,-1-x⟩⟩$
 ${B}{≔}\left[\begin{array}{cc}{1}{-}{x}& {3}\\ {2}& {-}{1}{-}{x}\end{array}\right]$ (3)
 > $\mathrm{Determinant}\left(B\right)$
 ${{x}}^{{2}}{-}{7}$ (4)