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Find a basis for the eigenspace corresponding to each listed eigenvalue. 4 6 ^---|--1.² λ=1, 2 A = A basis for the eigenspace corresponding to λ = 1 is. (Type a vector or list of vectors. Type an integer or simplified fraction for each matrix element. Use a comma to separate answers as needed.)

Find a basis for the eigenspace corresponding to each listed eigenvalue. 4 6 ^---|--1.² λ=1, 2 A = A basis for the eigenspace corresponding to λ = 1 is. (Type a vector or list of vectors. Type an integer or simplified fraction for each matrix element. Use a comma to separate answers as needed.)

Advanced Engineering Mathematics
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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Find a basis for the eigenspace corresponding to each listed eigenvalue. A = 4 6 -1 -1 λ = 1, 2 A basis for the eigenspace corresponding to λ = 1 is { (Type a vector or list of vectors. Type an integer or simplified fraction for each matrix element. Use a comma to separate answers as needed.)
Transcribed Image Text:Find a basis for the eigenspace corresponding to each listed eigenvalue. A = 4 6 -1 -1 λ = 1, 2 A basis for the eigenspace corresponding to λ = 1 is { (Type a vector or list of vectors. Type an integer or simplified fraction for each matrix element. Use a comma to separate answers as needed.)
Find a basis for the eigenspace corresponding to the eigenvalue. A = 3 - 2 8 λ = 9 A basis for the eigenspace corresponding to λ = 9 is (Type a vector or list of vectors. Type an integer or simplified fraction for each matrix element. Use a comma to separate answers as needed.)
Transcribed Image Text:Find a basis for the eigenspace corresponding to the eigenvalue. A = 3 - 2 8 λ = 9 A basis for the eigenspace corresponding to λ = 9 is (Type a vector or list of vectors. Type an integer or simplified fraction for each matrix element. Use a comma to separate answers as needed.)
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