Question: 1. Find x such that there is an eigenvector u corresponding to the eigenvalue 6 of the matrix [[1,6], [5,0]] so that u =

1. Find x such that there is an eigenvector u corresponding to

1. Find x such that there is an eigenvector u corresponding to the eigenvalue 6 of the matrix [[1,6], [5,0]] so that u = [6, x] for some real number x. 2. Verify that u = [1,10] is an eigenvector of the matrix [[5, 1], [10,6]]. Find the corresponding eigenvalue \.

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