线性代数题,for what value of x,if any,will the matrix（是否存在X使得该矩阵）[ 3 0 0]A=[ 0 x 2][0 2 x]have at least one repeated eigenvalue?（拥有至少一个重复特征值）

来源：学生作业帮助网编辑：作业帮时间：2024/04/26 05:11:38

线性代数题,for what value of x,if any,will the matrix（是否存在X使得该矩阵）[ 3 0 0]A=[ 0 x 2][0 2 x]have at least one repeated eigenvalue?（拥有至少一个重复特征值）
线性代数题,
for what value of x,if any,will the matrix（是否存在X使得该矩阵）
[ 3 0 0]
A=[ 0 x 2]
[0 2 x]
have at least one repeated eigenvalue?（拥有至少一个重复特征值）

线性代数题,for what value of x,if any,will the matrix（是否存在X使得该矩阵）[ 3 0 0]A=[ 0 x 2][0 2 x]have at least one repeated eigenvalue?（拥有至少一个重复特征值）
我用b代替 lamda
| A - bE| = (3-b)(x+2-b)(x-2-b)
所以A的特征值为 :3,x+2,x -2
若有重复的特征值,必有 x+2 =3 或 x-2 = 3 ( x+2 = x -2 不可能.)
即 x = 1 或 x = 5 时有重复的特征值 3.

见图片，希望对你有所帮助~

线性代数题,for what value of x,if any,will the matrix（是否存在X使得该矩阵）[ 3 0 0]A=[ 0 x 2][0 2 x]have at least one repeated eigenvalue?（拥有至少一个重复特征值） not good value for pre calculus 11的一道题 What is the value of S9 for the series 8-24+72-216+…?a 39366 b -13122 c 52491 d 39368 SAT数学中 what is one possible value of x for which2x What is the largest possible integer value of for which divides 英语翻译What is the HS code that you can use for the last container and what is the value? 英语翻译In everyday life,we talk about getting value for money .When we use this expression,we are distinguishing between value and price.Value is what we get,and the price is what we pay. We must value what we the value of life must have been what you were____ in those years.A.after B.for 选什么为什么 what is the value of the discriminant for the function f(x)=8x^2+13x+7? 英文作文 what I value most That's what I value 英语作文 what is value of 4 in 0.73? We must value what we have 线性代数题, 线性代数题, 线性代数题, 线性代数题,