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7 -4 8 Consider the 3x3 matrix A= 4 -1 8 -4 4 - 5 (a) Find the eigenvalues of A. Show every step of your work. The key to suc

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(d) given 8 A = 4 7 -4 -1 4 8 5) -4 values. eigen | [A-AL]) = 0 7-8 -4 8 -/- 8 4 -4 -5-8 JI CO (7-1)[<0+)(4+5) – sa)] ++ (-204 X2-4 x2 + 83-0 X, -X2 + 2x3-0 6 4*, -4x2+8x3=0 XI – Xz+ 2x2=0 same 0 0 ③ are -4X, +4x2 -8 xz=0 X, - Xa+23-0-3 equations. X3- #xi+4xa tolҳ3) = 0 x = xа. el X2 =қ х1 = -қ х2 = -К. rector is eigen х? КІ (6) for A= 5 ergen value, az is free variable as

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