3. Suppose T E L(R*) is defined by 2 -6 9. Tr = -6 2 -9 1, Z ER³. -2 2 -4 The eigenvalues of T are A1 of T. = -4, and d2 = 2 with multiplicity 2. Find bases for the generalized eigenspaces

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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3. Suppose T E L(R*) is defined by
-6
9.
Tr =
-9 1,
I E R³.
-6
2
|-2
2
-4
The eigenvalues of T are A1 = -4, and A2
of T.
= 2 with multiplicity 2. Find bases for the generalized eigenspaces
Transcribed Image Text:3. Suppose T E L(R*) is defined by -6 9. Tr = -9 1, I E R³. -6 2 |-2 2 -4 The eigenvalues of T are A1 = -4, and A2 of T. = 2 with multiplicity 2. Find bases for the generalized eigenspaces
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