What is expand \det(λ-1)(λ^2-2λ-2) ?

The solution to expand \det(λ-1)(λ^2-2λ-2) is λ^2\det(λ-1)-2λ\det(λ-1)-2*\det(λ-1)

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expand \det(λ-1)(λ^2-2λ-2)

expand

det (λ - 1) (λ^{2} - 2 λ - 2)

λ^{2} det (λ - 1) - 2 λ det (λ - 1) - 2 \cdot det (λ - 1)

Solution steps

det (λ - 1) (λ^{2} - 2 λ - 2)

Distribute parentheses

= det (λ - 1) λ^{2} + det (λ - 1) (- 2 λ) + det (λ - 1) (- 2)

Apply minus-plus rules

+ (- a) = - a

= λ^{2} det (λ - 1) - 2 λ det (λ - 1) - 2 \cdot det (λ - 1)

e^{3 (3 + i)}

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(1, - 2, 0) X (2, 1, 0)

What is expand \det(λ-1)(λ^2-2λ-2) ?
The solution to expand \det(λ-1)(λ^2-2λ-2) is λ^2\det(λ-1)-2λ\det(λ-1)-2*\det(λ-1)