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# Given Y = c1e1tx1 + c2e2tx2 + +cnen txn is the solution to the initial value problem: Y_

ISBN: 9780136009290 436

## Solution for problem 3 Chapter 6.2

Linear Algebra with Applications | 8th Edition

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Problem 3

Given Y = c1e1tx1 + c2e2tx2 + +cnen txn is the solution to the initial value problem: Y_ = AY, Y(0) = Y0 (a) Show that Y0 = c1x1 + c2x2 + +cnxn (b) Let X = (x1, . . . , xn) and c = (c1, . . . , cn)T . Assuming that the vectors x1, . . . , xn are linearly independent, show that c = X1Y0.

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PSCI2012 Chapter 12 Welfare State *when talking about development: talking about poor countries; when talking about welfare state: talking about wealthy countries  Tension: democratic politics is realm of equality while capitalism economics is realm of inequality o Every democratic state engages in some...

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