Question: help solve this problem 9. If v is an eigenvector of A with corresponding eigenvalue A and c is a scalar, show that v is

help solve this problem

9. If v is an eigenvector of A with corresponding eigenvalue A and c is a scalar, show that v is an eigen- vector of A - cI with corresponding eigenvalue ) - c. 10. (a) Find the eigenvalues and eigenspaces of A = 2 5 0 (b) Using Problem 9, find the eigenvalues and eigenspaces of A-1, A - 21, and A + 21

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