Question: please help this linear algebra questions with steps ,thanks (4) (30 points) It is known that the following matrix has an eigenvalue A = 1.

please help this linear algebra questions with steps ,thanks

please help this linear algebra questions with
(4) (30 points) It is known that the following matrix has an eigenvalue A = 1. 2 2 U A = 2 1 2 0 2 U (i) (10 points) Find all the other eigenvalue-S of A. (ii) (10 points) Find a. matrix P such that FIAP is a diagonal matrix. (iii) (10 points) Compute all the eigenvalues and eigenvectors of A4 2A3

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