Re: [線代] eigenvalue一題
※ 引述《xx52002 (冰清影)》之銘言：
: Suppose A is a 3*3 real matrix such that A^3 = A^2 - A + I
: (a) Find all possible eigenvalues of A.
: (b) Determine the minimal and characteristic polynomial of A.
: (c) Is A diagonalizable? Explain your answer.
: 煩請各位解答 QQ
3 2
λ - λ + λ - 1 = 0 (minimal and characteristic polynomial of A)
λ = 1
λ = i
λ = -i
可以的^^ 因為特徵值對應的特徵向量互相線性獨立
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