Let x = Express as a linear combination of 7₁, 72, and 73, and find Ax. Ax = be eigenvectors of the matrix A which correspond to the eigenvalues X₁ = -1, A₂ = 2, and A3 = 4, respectively, and let -2 7 0 -1 -1 2 2 = v₁+ 2 ------ -3 = 2 2 0 0 ₂+2 2 x = V3.
Let x = Express as a linear combination of 7₁, 72, and 73, and find Ax. Ax = be eigenvectors of the matrix A which correspond to the eigenvalues X₁ = -1, A₂ = 2, and A3 = 4, respectively, and let -2 7 0 -1 -1 2 2 = v₁+ 2 ------ -3 = 2 2 0 0 ₂+2 2 x = V3.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 7E
Related questions
Question
![Let
x =
Express as a linear combination of 71, 72, and 73, and find Ax.
Ax =
be eigenvectors of the matrix A which correspond to the eigenvalues X₁
-1
-1
2
V₁
2
=
₁+ 2
0
√₂+2
, V₂
=
[2]
, V3
=
-0
x =
==
-1, A₂ = 2, and X3 = 4, respectively, and let
-3
V3.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F22d68f17-16dd-483f-b1dd-29ebc93534fb%2Fd0c75a31-8e7c-4340-89b0-9473e9d6b217%2F7tmp1dm_processed.png&w=3840&q=75)
Transcribed Image Text:Let
x =
Express as a linear combination of 71, 72, and 73, and find Ax.
Ax =
be eigenvectors of the matrix A which correspond to the eigenvalues X₁
-1
-1
2
V₁
2
=
₁+ 2
0
√₂+2
, V₂
=
[2]
, V3
=
-0
x =
==
-1, A₂ = 2, and X3 = 4, respectively, and let
-3
V3.
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