Define T:R-→R² by T(x) = Ax. Find a basis B for R² with the property that [T]B is diagonal. - 3 - 3 A = - 1 - 5 2 A basis for R with the property that [T]B is diagonal is { }.
Define T:R-→R² by T(x) = Ax. Find a basis B for R² with the property that [T]B is diagonal. - 3 - 3 A = - 1 - 5 2 A basis for R with the property that [T]B is diagonal is { }.
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:R→R² by T(x) = Ax. Find a basis B for R² with the property that [T]g is diagonal.
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A =
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A basis for R with the property that [T]B is diagonal is { }.
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Transcribed Image Text:Define T:R→R² by T(x) = Ax. Find a basis B for R² with the property that [T]g is diagonal.
->
%3D
-3
-3
A =
- 1 - 5
A basis for R with the property that [T]B is diagonal is { }.
(Use a comma to separate answers as needed.)
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