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1. Is u=[1,1]T an eigenvector of the matrix [[7,1],[12,6]] ? No Yes 2. Find x such that there is an eigenvector u corresponding to the

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1. Is u=[1,1]T an eigenvector of the matrix [[7,1],[12,6]] ? No Yes 2. Find x such that there is an eigenvector u corresponding to the eigenvalue 5 of the matrix [[5,1],[10,4]] so that u=[1,x]T for some real number x. 11577581032 3. Verify that u=[1,5]T is an eigenvector of the matrix [[3,1],[5,1]]. Find the corresponding eigenvalue lambda. 532471461 4. Verify that u=[1,4]T is an eigenvector of the matrix [[3,1],[4,0]]. Find the corresponding eigenvalue lambda. 544611273

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