Find the all eigen-values and associated eigen-vectors of the following matrices where: A = [ 21]...

 

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Find the all eigen-values and associated eigen-vectors of the following matrices where: A = [ 21] 1 Hint: Find the eigenvalues and eigenvectors of A, then use the result for question 2 to find the eigenvalues and eigenvectors of the following matrices. a) A b) A-1 c) A +41 d) Find A 100 [71] Note that the vector [711] is an eigen vector of A. Hint: Use the result of Anv = 2nv for , v are eigen value and its associated eigenvector of A. Find the all eigen-values and associated eigen-vectors of the following matrices where: A = [ 21] 1 Hint: Find the eigenvalues and eigenvectors of A, then use the result for question 2 to find the eigenvalues and eigenvectors of the following matrices. a) A b) A-1 c) A +41 d) Find A 100 [71] Note that the vector [711] is an eigen vector of A. Hint: Use the result of Anv = 2nv for , v are eigen value and its associated eigenvector of A.