Suppose Q is the quadratic form below The minimum value of Q subject to ¹ = 1 is Q = 4. An eigenvector of A associated with eigenvalue λ = 4 is What is c equal to? An eigenvector associated with eigenvalue X = 4 is v = (0, 1, -2). The minimum value of Q, subject to = 1 is obtained at to, where: If is parallel to do and ko > 0, what must k₁ be equal to? (answer must contain at least 3 decimal places) Q = ¹A, A = 2 1 -(0) 7 = -- () = 2 1 8 2 2 5,

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.1: Introduction To Eigenvalues And Eigenvectors
Problem 35EQ
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Suppose Q is the quadratic form below
T
The minimum value of Q subject to ª = 1 is Q = 4. An eigenvector of A associated with eigenvalue λ = 4 is
What is c equal to?
An eigenvector associated with eigenvalue = 4 is ₺ = (0, 1, −2)². The minimum value of Q, subject to x¹ = 1 is obtained at to, where:
If is parallel to ☀ and kỵ > 0, what must k₁ be equal to? (answer must contain at least 3 decimal places)
Q = x¹ Añ, A =
v =
to
=
0
1
C
5 2 1
129
28
0
ko
k₁
2
25
Transcribed Image Text:Suppose Q is the quadratic form below T The minimum value of Q subject to ª = 1 is Q = 4. An eigenvector of A associated with eigenvalue λ = 4 is What is c equal to? An eigenvector associated with eigenvalue = 4 is ₺ = (0, 1, −2)². The minimum value of Q, subject to x¹ = 1 is obtained at to, where: If is parallel to ☀ and kỵ > 0, what must k₁ be equal to? (answer must contain at least 3 decimal places) Q = x¹ Añ, A = v = to = 0 1 C 5 2 1 129 28 0 ko k₁ 2 25
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