Question

2. Let A and B be 4 × 4 matrices. Suppose that A has eigenvalues

x1, x2, x3, x4 and B has eigenvalues 1/x1, 1/x2, 1/x3, 1/x4, where each

xi > 1.

(a) Prove that A + B has at least one eigenvalue greater than 2​

Answer 1

Answer:

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