The matrix A= -4 -4 8 2 2 -4 has two real eigenvalues, one of multiplicity 1 and one of multiplicity 2. Find the -2 -2 4 eigenvalues and a basis of each eigenspace. A₁ = has multiplicity 1, with a basis of A₂ = has multiplicity 2, with a basis of
The matrix A= -4 -4 8 2 2 -4 has two real eigenvalues, one of multiplicity 1 and one of multiplicity 2. Find the -2 -2 4 eigenvalues and a basis of each eigenspace. A₁ = has multiplicity 1, with a basis of A₂ = has multiplicity 2, with a basis of
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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![The matrix A =
eigenvalues and a basis of each eigenspace.
has multiplicity 1, with a basis of
has multiplicity 2, with a basis of
X₁
x₂ =
T-4
-4
8
2
2 -4 has two real eigenvalues, one of multiplicity 1 and one of multiplicity 2. Find the
-2 -2 4
=
To enter a basis into WeBWork, place the entries of each vector inside of brackets, and enter a list of these vectors, separated
{Q.A}
H}
3
by commas. For instance, if your basis is
then you would enter [1,2,3],[1,1,1] into the answer blank.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff36eb3f5-3a86-47dc-b38e-1f74ed928969%2F9b24c263-690c-4dc5-8637-013f2a72c4cd%2Figssw9e_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The matrix A =
eigenvalues and a basis of each eigenspace.
has multiplicity 1, with a basis of
has multiplicity 2, with a basis of
X₁
x₂ =
T-4
-4
8
2
2 -4 has two real eigenvalues, one of multiplicity 1 and one of multiplicity 2. Find the
-2 -2 4
=
To enter a basis into WeBWork, place the entries of each vector inside of brackets, and enter a list of these vectors, separated
{Q.A}
H}
3
by commas. For instance, if your basis is
then you would enter [1,2,3],[1,1,1] into the answer blank.
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