Prove that if is an eigenvalue of a matrix A with associated eigenvector x, and k

Question:

Prove that if λ is an eigenvalue of a matrix A with associated eigenvector x, and k is a positive integer, then λk is an eigenvalue of the matrix
Ak = A ( A ...... A (k factor)
With associated eigenvector x?
Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question
Question Posted: