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.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 14E
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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.)
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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