Consider the linear system 3 x = x. Find the eigenvalues and eigenvectors for the coefficient matrix. A₁ = 0, 0₁ = v1 λι and X2 ×2 = 0,02 = [8] [8] help (numbers) help (matrices) help (numbers) help (matrices) For each eigenpair in the previous part, form a solution of ' independent variable in your answers. = Ax. Use t as the x1(t) = and x2(t) = [8] [8] help (formulas) help (matrices) help (formulas) help (matrices) Does the set of solutions you found form a fundamental set (i.e., linearly independent set) of solutions? Choose Book: Section 3.4 of Notes on Diffy Qs

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.3: Matrix Algebra
Problem 85E: Determine if the statement is true or false. If the statement is false, then correct it and make it...
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Consider the linear system
3
x
=
x.
Find the eigenvalues and eigenvectors for the coefficient matrix.
A₁ = 0, 0₁ =
v1
λι
and
X2
×2 = 0,02 =
[8]
[8]
help (numbers)
help (matrices)
help (numbers)
help (matrices)
For each eigenpair in the previous part, form a solution of '
independent variable in your answers.
=
Ax. Use t as the
x1(t)
=
and
x2(t)
=
[8]
[8]
help (formulas)
help (matrices)
help (formulas)
help (matrices)
Does the set of solutions you found form a fundamental set (i.e., linearly independent set) of
solutions?
Choose
Book: Section 3.4 of Notes on Diffy Qs
Transcribed Image Text:Consider the linear system 3 x = x. Find the eigenvalues and eigenvectors for the coefficient matrix. A₁ = 0, 0₁ = v1 λι and X2 ×2 = 0,02 = [8] [8] help (numbers) help (matrices) help (numbers) help (matrices) For each eigenpair in the previous part, form a solution of ' independent variable in your answers. = Ax. Use t as the x1(t) = and x2(t) = [8] [8] help (formulas) help (matrices) help (formulas) help (matrices) Does the set of solutions you found form a fundamental set (i.e., linearly independent set) of solutions? Choose Book: Section 3.4 of Notes on Diffy Qs
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