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Diagonalize the following matrix. The real eigenvalues are given to the right of the matrix. 5 1 1 1 5 1 :1 = 4,7 1 1 5 Selec

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Answer :- A : 5 1 5 1 1 51 eigen values are d = 4,7 7 ergens vector_corresponding to the A I : -2 -2 -2 (A - ZI) -112 -12 RIXTv 0 1 0 0 =t, Vit. v, - t 1 t for d₂ = 4 A I R2 R2 - Ri R3-R, 0 V, O o o U₂ 0 0 ollu V-S-t a S Ovector for die 42 -1 - eigen & - O for dz: Z The digonal matris (the diagonal entries daz, az ) are 4 or 7 o 0 4 0 4 4 O The

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