04 Let A - where is a real number 1 - 2 (a) Find the eigenvalues (in terms of rand associated eigenvectors of A. (8 Poin

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04 Let A Where Is A Real Number 1 2 A Find The Eigenvalues In Terms Of Rand Associated Eigenvectors Of A 8 Poin 1 (96.73 KiB) Viewed 41 times

04 Let A - where is a real number 1 - 2 (a) Find the eigenvalues (in terms of rand associated eigenvectors of A. (8 Points) Solution: 1A - XI= 0 Vein-028-6-3). ( =O 1-Y O - T- => -1, we salve (A-I)Y=0 and get y = ( 2 , 1-r), For = x-4, we solue (A-(1-1)I)v=0 and get For d=1, d /4 قليبيا 2 @ . (ارا-)= و (b) Find the value of r for which A is not diagonalizable. (5 Points) 2 A has repeated eigenvalue x=14 In this case, we find that the dimension of the eigen space is heree lo not diagonalizable iff. r = 22. A is 3