What are the roots of the characteristic equation of the following system?da%3Ddtdya+2y+zdtdz=y+zdtО a.Л — 0, 1,2Ob. X = -1,2, 3Oc.A=0,1,3O d. X =-1,0, 3О e.А3 1,2, 3

Suppose A is 3×3 square matrix .The characteristic polynomial of the matrix A is detλI3-A .So the…

What are the roots of the characteristic equation of the following system? da = I - Y dt %3D dy = - + 2y + z dt dz = y +z dt %3D O a. A = 0, 1, 2 Оb.А— -1,2,3 %3D О с.А - 0, 1,3 %3D O d. X=-1,0,3 %3D О e.А — 1,2, 3 %3D

What are the roots of the characteristic equation of the following system? da = I - Y dt %3D dy = - + 2y + z dt dz = y +z dt %3D O a. A = 0, 1, 2 Оb.А— -1,2,3 %3D О с.А - 0, 1,3 %3D O d. X=-1,0,3 %3D О e.А — 1,2, 3 %3D

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.

Question

What are the roots of the characteristic equation of the following system?
da
%3D
dt
dy
a+2y+z
dt
dz
=y+z
dt
О a.Л — 0, 1,2
Ob. X = -1,2, 3
Oc.A=0,1,3
O d. X =-1,0, 3
О e.А3 1,2, 3

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