Question: (a) True or false: If 1 , v 1 and 2 , v 2 solve the eigenvalue equation (8.12) for a given matrix

(a) True or false: If λ1, v1 and λ2, v2 solve the eigenvalue equation (8.12) for a given matrix A, so does λ1 + λ2, v1 + v2.


Av = Xv. (8.12)



(b) Explain what this has to do with linearity.

Av = Xv. (8.12)

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