Given A = 9 4 in a deformation y = Ax, find the principal directions and corresponding factors of extension or contraction. Enter the factors of extension or contraction in increasing order.
Given A = 9 4 in a deformation y = Ax, find the principal directions and corresponding factors of extension or contraction. Enter the factors of extension or contraction in increasing order.
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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Question
![Given
A =
9 4
in a deformation y = Ax, find the principal directions and corresponding factors of extension or contraction.
Enter the factors of extension or contraction in increasing order.
v by a factor of
i
in the direction of the eigenvector [ i
1]".
by a factor of
in the direction of the eigenvector [ i
1]".](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F002560c4-f50e-4f4a-a33c-b3a98b864e70%2F6cfe21b9-b1ff-4fe5-9283-82b5f2d5a835%2Fdeel0rc_processed.png&w=3840&q=75)
Transcribed Image Text:Given
A =
9 4
in a deformation y = Ax, find the principal directions and corresponding factors of extension or contraction.
Enter the factors of extension or contraction in increasing order.
v by a factor of
i
in the direction of the eigenvector [ i
1]".
by a factor of
in the direction of the eigenvector [ i
1]".
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