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.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 11E
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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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