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kol2006pgn193ejc12

Module by: Diego Fernandez. E-mail the author

Ejercicio Kolman Ch 3.1 Ej 12 Diego FernandezCalcular determinante

e := λ - 1 - 1 - 2 0 λ - 2 2 0 0 λ - 3 e := λ - 1 - 1 - 2 0 λ - 2 2 0 0 λ - 3

Det [ e ] Det [ e ]

- 6 + 11 λ - 6 λ 2 + λ 3 - 6 + 11 λ - 6 λ 2 + λ 3

Solve - 6 + 11 λ - 6 λ 2 + λ 3 = = 0 Solve - 6 + 11 λ - 6 λ 2 + λ 3 = = 0

{ { λ → 1 } , { λ → 2 } , { λ → 3 } } { { λ → 1 } , { λ → 2 } , { λ → 3 } }

A := - 1 0 1 - 2 0 - 1 0 0 1 A := - 1 0 1 - 2 0 - 1 0 0 1

i := IdentityMatrix [ 3 ] // MatrixForm i := IdentityMatrix [ 3 ] // MatrixForm

Det [ ( λ * i ) - A ] Det [ ( λ * i ) - A ]

- 2 λ 1 0 0 0 1 0 0 0 1 - 2 λ 1 0 0 0 1 0 0 0 1

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