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Consider the matrix A= 2 -2 0 1 -1 0 2 -4 1 which has eigenvalues 1 = 1,1,0. a) Show that the characteristic polynomial of A

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ة (; به ة eigen value &= which has Polynomial of P is لی Characteristic لام - LA د (8) م . : لا المنام لم- لم - له 1- د ده (For LAI). 24-11 श शि *पट x-21: n-1-0. 2) -4+ =x v=Y 25- 2x JEE ही f. For a eigen vector is a For de (A-2) S) : 0 X . --- X-21A=0 بعد اعلی اعدام 15 eigen space د واک وه geometric mutiplicty for do is hence 4 = 1 Doomoo Slgebtii multiplicity of A=2 خل

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