4 Consider the differential equationf(8) – 6f(?) + 11f(1) – 6ƒ = 0We transform this differential equation into a system of differential equations bysetting: 4 = g, = h and looking for the three functions f, f(1), f(2) at once, that is,for the vector (f,g,h)* consisting of three functions. We then have three equationsthat have the form:df= gdxdg= hdxdh= 6f – 11g +6hdxSolving this system solves the differential equation. Answer the following questions(Questions 1,2,3,4).Question 1 Write this system in matrix form as dv = Av where v = (f,g,h)*.Find the trace of the 3 x 3 matrix A and its determinant. The trace is the sum of itsdiagonal terms.O Trace=6, determinant=0Trace=3, determinant=3Trace=6, determinant=6Trace=0, determinant=6

Introduction: When a matrix is a square matrix, there is a diagonal. The sum of all the elements in…

Consider the differential equation f(8) – 6 f(2) + 11f(1) – 6f = 0 We transform this differential equation into a system of differential equations by setting: = 9, = h and looking for the three functions f, f(1), f(2) at once, that is, for the vector (f, g, h)t consisting of three functions. We then have three equations that have the form: df = g dx dg h

Consider the differential equation f(8) – 6 f(2) + 11f(1) – 6f = 0 We transform this differential equation into a system of differential equations by setting: = 9, = h and looking for the three functions f, f(1), f(2) at once, that is, for the vector (f, g, h)t consisting of three functions. We then have three equations that have the form: df = g dx dg h

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.6: Applications And The Perron-frobenius Theorem

Problem 69EQ: Let x=x(t) be a twice-differentiable function and consider the second order differential equation...

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