Eigenvalues and Eigenvectors - Massachusetts Institute of ...

:7:3 is x1 C 1 2.:2/x2 D:6:4 C:1:1: Each eigenvector is multiplied by its eigenvalue, when we multiply by A. We didn’t need these eigenvectors to find A2. But it is the good way to do 99 multiplications. At every step x1 is unchanged and x2 is multiplied by .1 2 /,sowehave.1 2 /99: A99:8:2 is really x1 C .:2/. 1 2 /99x 2 D:6:4 C 2 4 very ... ................
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