matrix A=[2 2 -7
2 1 2
0 1 -3] is -12,find the eigen values of A
Answers
Answer:
[1−1021−1]
[0020] or 2x2=0 or x2=0 the eigenvector might be in this form
x
0
(I try to write eigenvector by Latex by always get error -*-)
what is the vaule for x? because no x left after I plug in eigenvalue in matrix
Step-by-step explanation:
pls sub my utube chnnl Arshabia and mark me as brainliest if helpful
Answer:
The eigenvalues of matrix A are -5, -3, and 4.
Step-by-step explanation:
From the above question,
They have given :
To calculate the characteristic polynomial of matrix A.
The characteristic polynomial of matrix A is given by
det(A - λI) = (2 - λ)(2 - λ)(-3 - λ) + 14 = λ^3 - 8λ^2 + 16λ - 12
The eigenvalues of a matrix are the solutions to the characteristic polynomial of the matrix. The characteristic polynomial of a matrix is a polynomial in the variable λ (lambda) whose coefficients are the entries of the matrix.
To solve the characteristic polynomial to get the eigenvalues.
The eigenvalues of matrix A are the solutions of the characteristic polynomial, which are given by
λ - 8λ^2 + 16λ - 12 = 0
Solving this equation, we get
λ_1 = -5, λ_2 = -3, λ_3 = 4
Hence, the eigenvalues of matrix A are -5, -3, and 4.
For more such related questions : https://brainly.in/question/48248906
#SPJ3