rrrerrrt Please answer the following question attached below; Please find the following from information below; 1) Ak x k matrix M has k distinct eigenvalues X₁, X2, ‚ Ak and k linearly indepen- V k If some vector is written as a linear combination dent eigenvectors ₁, 2, of the eigenvectors, show that 2) The matrix M = .... -3 -1 0 -2 --0--0 [2] = M" x = k Συλου; j=1 has eigenvalues λ₁ = −3, λ₂ = −2, and eigenvectors 1 Show equation presented in 1) to be true for x = -2 4 and n = 3.
rrrerrrt Please answer the following question attached below; Please find the following from information below; 1) Ak x k matrix M has k distinct eigenvalues X₁, X2, ‚ Ak and k linearly indepen- V k If some vector is written as a linear combination dent eigenvectors ₁, 2, of the eigenvectors, show that 2) The matrix M = .... -3 -1 0 -2 --0--0 [2] = M" x = k Συλου; j=1 has eigenvalues λ₁ = −3, λ₂ = −2, and eigenvectors 1 Show equation presented in 1) to be true for x = -2 4 and n = 3.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.1: Eigenvalues And Eigenvectors
Problem 77E
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Question
![rrrerrrt
Please answer the following question attached below;
Please find the following from information below;
1)
Ak x k matrix M has k distinct eigenvalues X₁, X2, ‚ Ak and k linearly indepen-
V k
If some vector is written as a linear combination
dent eigenvectors 2₁, 22,
of the eigenvectors, show that
2)
The matrix M =
....
M" x =
-3 -1
0 -2
--8---[G]
k
Συλου;
j=1
has eigenvalues λ₁ = −3, №₂ = −2, and eigenvectors
1
Show equation presented in 1) to be true for x =
-2
[B]-
and n = 3.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F26bf5112-a4d3-4082-a7a2-56cd0227ad3b%2Fe23a411d-fdc3-41d9-9083-01485cd79256%2Fjcsddqwn_processed.png&w=3840&q=75)
Transcribed Image Text:rrrerrrt
Please answer the following question attached below;
Please find the following from information below;
1)
Ak x k matrix M has k distinct eigenvalues X₁, X2, ‚ Ak and k linearly indepen-
V k
If some vector is written as a linear combination
dent eigenvectors 2₁, 22,
of the eigenvectors, show that
2)
The matrix M =
....
M" x =
-3 -1
0 -2
--8---[G]
k
Συλου;
j=1
has eigenvalues λ₁ = −3, №₂ = −2, and eigenvectors
1
Show equation presented in 1) to be true for x =
-2
[B]-
and n = 3.
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