Define T: R² → R² by T(x) = Ax. Find a basis B for R2 with the property that [T] is diagonal. 4 -4 3 A= -5 ... A basis for R² with the property that [T] is diagonal is. (Type a vector or list of vectors. Use a comma to separate vectors as needed.)
Define T: R² → R² by T(x) = Ax. Find a basis B for R2 with the property that [T] is diagonal. 4 -4 3 A= -5 ... A basis for R² with the property that [T] is diagonal is. (Type a vector or list of vectors. Use a comma to separate vectors as needed.)
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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![Define T: R² R² by T(x) = Ax. Find a basis B for R² with the property that [T] is diagonal.
4 - 4
-5 3
A =
A basis for R² with the property that [T] is diagonal is
(Type a vector or list of vectors. Use a comma to separate vectors as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F11ad9986-04b0-4336-8340-a3038312afe8%2F8433da5c-e2be-4e56-8918-b1451e3a4dd9%2Fltjvvm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Define T: R² R² by T(x) = Ax. Find a basis B for R² with the property that [T] is diagonal.
4 - 4
-5 3
A =
A basis for R² with the property that [T] is diagonal is
(Type a vector or list of vectors. Use a comma to separate vectors as needed.)
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