The Eigen values of a 3×3 matrix are λ1, λ2, λ3 then the Eigen values of a matrix A^3 are __________
(a) λ1, λ2, λ3
(b) \( \frac{1}{λ_1}, \frac{1}{λ_2}, \frac{1}{λ_3}\)
(c) \(λ_1^3, λ_2^3, λ_3^3\)
(d) 1, 1, 1
The question was posed to me in a national level competition.
I'd like to ask this question from Eigenvalues topic in division Linear Algebra Overview of Signals and Systems