One eigenvalue of the matrix A 1 12 167 -3 14 12 is A₁ = 5. -10 30 45. Find enough vectors to form a basis of the eigenspace of A corresponding to X₁.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CR: Review Exercises
Problem 15CR: For what values of a does the matrix A=[01a1] have the characteristics below? a A has eigenvalue of...
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One eigenvalue of the matrix A
1
V1 =
12 167
14 12 is X₁ = 5.
Find enough vectors to form a basis of the eigenspace of A corresponding to A₁.
V2
-3
-10 30 45.
Fill vectors from left to right. Leave unneeded vectors blank.
00
Transcribed Image Text:One eigenvalue of the matrix A 1 V1 = 12 167 14 12 is X₁ = 5. Find enough vectors to form a basis of the eigenspace of A corresponding to A₁. V2 -3 -10 30 45. Fill vectors from left to right. Leave unneeded vectors blank. 00
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