Define T: R2 R² by T(x) = Ax. Find a basis B for R? with the property that [T]B is diagonal. - 6 A = - 5 4 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
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Linear Algebra.

Define T : R → R´ by T(x) = Ax. Find a basis B for R with the property that [T], is diagonal.
%3D
- 6
A:
- 5
4
A basis for R² with the property that [T]R is diagonal is
2
(Type a vector or list of vectors. Use a comma to separate vectors as needed.)
Transcribed Image Text:Define T : R → R´ by T(x) = Ax. Find a basis B for R with the property that [T], is diagonal. %3D - 6 A: - 5 4 A basis for R² with the property that [T]R is diagonal is 2 (Type a vector or list of vectors. Use a comma to separate vectors as needed.)
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