.] Let JE Mnn (C) be the following Jordan Matrix J = J3(-1) J5(-1) J7(-1) J₁ (2) J₂ (2) J₁ (2). a) Write the value of n.. b) Write each eigenvalue. c) For each eigenvalue, write its algebraic multiplicity and its geometric multiplicity. d) Write the first eight values of the sequence d Hint: You do not have to prove your answers. = = nullity (J+In), k=1,2,....

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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Needed to be solved part a and B correctly in 10 minutes I will give you thumbs up if you solve on time
.] Let JMnn (C) be the following Jordan Matrix
J = J3(-1) J5(-1) J7(-1) J₁ (2) J₂ (2) J₁ (2).
a) Write the value of n.
b) Write each eigenvalue.
c) For each eigenvalue, write its algebraic multiplicity and its geometric multiplicity.
d) Write the first eight values of the sequence dk = nullity (J+In), k=1,2,...
Hint: You do not have to prove your answers.
Transcribed Image Text:.] Let JMnn (C) be the following Jordan Matrix J = J3(-1) J5(-1) J7(-1) J₁ (2) J₂ (2) J₁ (2). a) Write the value of n. b) Write each eigenvalue. c) For each eigenvalue, write its algebraic multiplicity and its geometric multiplicity. d) Write the first eight values of the sequence dk = nullity (J+In), k=1,2,... Hint: You do not have to prove your answers.
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