Consider the inner product on R² defined by (u, v) = u² Av, for some 2 x 2 positive definite matrix A. Determine A if Bf=² DT=5 and 13, 5, Then A= (G∙HA]) =: = 3.
Consider the inner product on R² defined by (u, v) = u² Av, for some 2 x 2 positive definite matrix A. Determine A if Bf=² DT=5 and 13, 5, Then A= (G∙HA]) =: = 3.
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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![Consider the inner product on R² defined by
(u, v) = u² Av, for some 2 x 2 positive definite matrix A.
Determine A if
of
= = 13,
Then A=
[]=
= 5,
and
(H.[4])) =
= 3.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fefe71c64-8346-40ed-b3ed-a6b5092127b6%2Fb16c281e-0370-438c-9c39-a1e49f25f130%2Fq49e8oq_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the inner product on R² defined by
(u, v) = u² Av, for some 2 x 2 positive definite matrix A.
Determine A if
of
= = 13,
Then A=
[]=
= 5,
and
(H.[4])) =
= 3.
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