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QUESTION

2. Consider the matrix 242(3112 _§/2 ) e M2x2(]R) (a) Find the eigenvalues and corresponding eigenvectors of A. (b) Show that for 'u = (1, 0) E R2, we can choose 71 large enough so that ||A”v|| is as smallas we like. Interpret this , in geometric, or analytic terms.

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