想知道那个，特征多项式化的详细过程

Question

如题所述

Answer 1

按第一行展开

|A-λE|=(2-λ)·
|3-λ 2 |
| 2 3-λ|
=(2-λ)·[(3-λ)·(3-λ)-2·2]
=(2-λ)·[(3-λ)²-2²] ·(3-λ+2)
=(2-λ)·(3-λ+2)·(3-λ-2)
=(2-λ)·(5-λ)·(1-λ)追答

按第一行展开

|A-λE|=(2-λ)·
|3-λ 2 |
| 2 3-λ|
=(2-λ)·[(3-λ)·(3-λ)-2·2]
=(2-λ)·[(3-λ)²-2²]
【前面这里多粘贴了一点，更正一下】
=(2-λ)·(3-λ+2)·(3-λ-2)
=(2-λ)·(5-λ)·(1-λ)