Find the eigen values and eigen vectors of A = [[1, 1, 3], [1, 5, 1], [3, 1, 1]]
Question
Solution 1
Step 1: Find the characteristic equation
The characteristic equation of a matrix A is given by det(A - λI) = 0, where I is the identity matrix and λ are the eigenvalues. For the given matrix A, we have:
A - λI = [[1-λ, 1, 3], [1, 5-λ, 1], [3, 1, 1-λ]]
So, det(A - λI) = (1-λ)[(5-λ)(1-λ) - 1] - 1[( Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI
Similar Questions
What is the function to get both eigen values and eigen vectors of a matrix?Select one:eig[]eig()eigval()eigval[]
Applications of eigen-value and eigen- vectors in finding the power of exp(A) with example
Applications of eigen-value and eigen- vectors in finding the power of Matrix A with example
(a) Find the eigenvalues, eigenvectors and eigenspaces forA =1 0 53 6 02 0 10(b) Calculate the determinant and trace of A directly and using eigen-values.
Consider the matrix A =k −k 3 00 k + 1 1 kk −3 5 k − 50 −3 0 −k.(a) Find det(A).(b) Find all values of k such that A is singular.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.