In Exercises 1-4, confirm by multiplication that x is an eigenvector of A, and find the corresponding eigenvalue. 1. A = [1 2] [5 2. A = 4 1] 3. A = |2 3 1 4 2 -1 4. A =-1 2 -1; x = | 1 -1 2]

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A company decides to change its floor plan from cubicle to open office. This will bring in a constant stream of $1,000 in extra income annually. If the company invests this extra income in an account that earns 2.5% continuously compounded interest for ten years, is it worth the change? The change in floor plan costs $7,000.