math 235 ch 7 practice

math 235 ch 7 practice - Math 235 Section 6 Chapter 7...

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Math 235 - Section 6, Chapter 7 Practice Problems Adam Gamzon 1. Let A = 2 4 3 3 . (a) Find the eigenvalues of A . (b) Find eigenvectors v 1 , v 2 corresponding to the eigenvalues found in part (a). (c) What is the matrix of A with respect to the basis B = { v 1 , v 2 } found in part (b)? 2. In an unfortunate accident involving an Austrian truck, 100 kg of a highly toxic substance are spilled into lake Sils in the Swiss Engadine Vally. The river Inn carries the pollutant down to Lake Silvaplana and later to Lake St. Moritz. After t weeks, let x 1 ( t ) be the pollutant in Lake Sils, x 2 ( t ) be the pollutant in Lake Silvaplana and let x 3 ( t ) be the pollutant in Lake St. Moritz. Set x ( t ) = x 1 ( t ) x 2 ( t ) x 3 (
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