Let A be a diagonalizable matrix, with characteristic polynomial det(AI – A) = (A – c)" for some constant c E R. Prove that A = cI, where I is the n × n identity matrix. ght Morte Mona Jonash Univer Universi 202 2021. sable task ersit 2021
Let A be a diagonalizable matrix, with characteristic polynomial det(AI – A) = (A – c)" for some constant c E R. Prove that A = cI, where I is the n × n identity matrix. ght Morte Mona Jonash Univer Universi 202 2021. sable task ersit 2021
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Transcribed Image Text:4. Let A be a diagonalizable matrix, with characteristic polynomial det (AI – A) = (A – c)" for some constant c E R. Prove that A = cI,
where I is the n x n identity matrix.
Mo
Mona
Jonash
Univ
Univer
niversi
jversity
rsity
2021
2021
2021
task
ask
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