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

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter7: Distance And Approximation
Section7.1: Inner Product Spaces
Problem 10AEXP
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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=
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
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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