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18.06 Problem Set 7 - Solutions - MIT
By Gauss elimination, it is easy to see that one solution is given by v 2 = 2 1 1 0 T (c) Given the eigenvalue λ 3 = 4, write down a linear system which can be solved to find the eigenvector v 3. Solution The system is Av 3 = 4v 3, or (A−4I)v 3 = 0: −5 3 −1 1 −3 1 1 −1 10 −10 −14 14 4 −4 −4 4 v 3 = 0. The solution is v 3 = 0 ...
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