You are given the eigenvectors u₁ the matrix A given by 2 and 13 = ------ A = T -4 14 19 0 (a) Find the eigenvalues A₁, A2 and 3 of the eigenvectors u₁, ₂ and 3, respectively. A₁ = 2₂ = 13 = 2 (b) The vectors u₁, ₂ and 3 form a basis B of R³. Let y be the vector -13 Find the coordinate vector [v] of v in the basis B. of
You are given the eigenvectors u₁ the matrix A given by 2 and 13 = ------ A = T -4 14 19 0 (a) Find the eigenvalues A₁, A2 and 3 of the eigenvectors u₁, ₂ and 3, respectively. A₁ = 2₂ = 13 = 2 (b) The vectors u₁, ₂ and 3 form a basis B of R³. Let y be the vector -13 Find the coordinate vector [v] of v in the basis B. 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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![Find the coordinate vector [v] of v in the basis B.
48
[V] B
(c) Calculate A20 v.
Below, you can use exponentials to enter your answer, you don't have to write
the full decimal expansion of the entries of the vector below, which could be
large numbers. For instance, to write 5.920.8, enter 5*9^(20)*8.
A20 v=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8041f754-1f4d-4a0d-bae9-09f742d01760%2F02663589-03bf-40f0-945e-904f0e04935f%2Fdc0y6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Find the coordinate vector [v] of v in the basis B.
48
[V] B
(c) Calculate A20 v.
Below, you can use exponentials to enter your answer, you don't have to write
the full decimal expansion of the entries of the vector below, which could be
large numbers. For instance, to write 5.920.8, enter 5*9^(20)*8.
A20 v=
![You are given the eigenvectors ₁
the matrix A given by
2
-------
and u3 = 0
A =
یاد
-4
14
19
(a) Find the eigenvalues A₁, A2 and 13 of the eigenvectors u₁, ₂ and 13,
respectively.
λ₁ =
2₂ =
13 =
2
(b) The vectors u₁, ₂ and 3 form a basis B of R³. Let v be the vector
-13
Find the coordinate vector [v] of v in the basis B.
of](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8041f754-1f4d-4a0d-bae9-09f742d01760%2F02663589-03bf-40f0-945e-904f0e04935f%2Fi6q1bdr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:You are given the eigenvectors ₁
the matrix A given by
2
-------
and u3 = 0
A =
یاد
-4
14
19
(a) Find the eigenvalues A₁, A2 and 13 of the eigenvectors u₁, ₂ and 13,
respectively.
λ₁ =
2₂ =
13 =
2
(b) The vectors u₁, ₂ and 3 form a basis B of R³. Let v be the vector
-13
Find the coordinate vector [v] of v in the basis B.
of
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Step 1: In this step find first eigen value
VIEWStep 2: In this step we find second eigen value
VIEWStep 3: In this step we find third eigen value
VIEWStep 4: In this step we find coordinate vector
VIEWStep 5: In this step last value is basis b of coordinate
VIEWStep 6: In this we find A^(20) V
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