Consider the multiplication operator LA: R² → R² defined by L₁(x) = Ax where A = 3 3 B = b. - (b₁,b₂) for R² such that [LÀ] = 9 -15 . Find an ordered basis 3 . Hint: [LA] = A where E is the standard basis.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the multiplication operator LA: R² → R² defined by L₁(x) = Ax where A =
B =
b.
-
9
(b₁,b₂) for R² such that [LÀ] = _
-15
b. =
. Find an ordered basis
33
3
. Hint: [LA] = A where E is the standard basis.
Transcribed Image Text:- Consider the multiplication operator LA: R² → R² defined by L₁(x) = Ax where A = B = b. - 9 (b₁,b₂) for R² such that [LÀ] = _ -15 b. = . Find an ordered basis 33 3 . Hint: [LA] = A where E is the standard basis.
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