a 8.2.11. Let l be a real eigenvalue of the real n x n matrix A, and V1, ..., Vk a basis for the associated eigenspace V. Suppose w EC is a complex eigenvector, so Aw = w. Prove that w = c1 V1 +...+ Ch Vk is a complex linear combination of the real eigenspace basis. Hint: Look at the real and imaginary parts of the eigenvector equation. - solutionspile.com

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a 8.2.11. Let l be a real eigenvalue of the real n x n matrix A, and V1, ..., Vk a basis for the associated eigenspace V. Suppose w EC is a complex eigenvector, so Aw =  w. Prove that w = c1 V1 +...+ Ch Vk is a complex linear combination of the real eigenspace basis. Hint: Look at the real and imaginary parts of the eigenvector equation. -  solutionspile.com

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