-1 -1 3 0 1 2 0 -1 0 4 1 -5 0 0 -1 1 -2 -7 For the matrix A = 0 0 0 3 -1 2 0 0 0 0 7 0 0 0 0 0 0 7 find its eigen values and their corresponding algebraic multiplicities (AM) and geometric multiplicities (GM). List t eigen values in increasing order, that is, A₁ < A₂ < 13. X₁ = whose AM is and GM is X2 = whose AM is and GM is X3 = whose AM is and GM is

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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Question
-1
-1 3 0
1
2
0
−1
0 4 1
-5
0
0
-1 1
-2
-7
For the matrix A =
0
0
0
3
-1
2
0
0 0 0
7
0
00000
7
find its eigen values and their corresponding algebraic
multiplicities (AM) and geometric multiplicities (GM). List the
eigen values in increasing order, that is, λ₁ < λ2 < 13.
X1
=
whose AM is
and GM is
X2
=
whose AM is
and GM is
X3
=
whose AM is
and GM is
Transcribed Image Text:-1 -1 3 0 1 2 0 −1 0 4 1 -5 0 0 -1 1 -2 -7 For the matrix A = 0 0 0 3 -1 2 0 0 0 0 7 0 00000 7 find its eigen values and their corresponding algebraic multiplicities (AM) and geometric multiplicities (GM). List the eigen values in increasing order, that is, λ₁ < λ2 < 13. X1 = whose AM is and GM is X2 = whose AM is and GM is X3 = whose AM is and GM is
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