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[0.4 0.2 0.5 _I r 120 _I Consider the matrix A = J02 0.4 0.25 J. and the vector V3 = J 20 J. Compute

[0.4 0.2 0.5 _I r 120 _I Consider the matrix A = J02 0.4 0.25 J. and the vector V3 = J 20 J. Compute AV3 0.4 0.4 0.25 140 and compare it to v3. This demonstrates that is an eigenvalue of A. (Answer with a decimal representation to the nearest 0.01, not a fraction.)

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